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        "title": "Aspects of Quasi-Single Field Inflation",
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        "keywords": "Inflation, inflationary cosmology, quasi-single field inflation, large-scale structure",
        "abstract": "<p>A simple extension of single-field slow roll inflation is called quasi-single field inflation (QSFI).  In quasi-single field inflation, the inflaton is coupled to one or more scalar fields with masses of order Hubble constant during inflation, <i>H</i>, called isocurvatons.  Depending on the interactions between the inflaton and the isocurvatons, the observable consequences of such a theory can vary dramatically.  This thesis is primarily concerned with analyzing how these interactions affect cosmological observables.</p>\r\n\r\n<p>We begin by discussing QSFI with one isocurvaton.  In particular, we study the non-perturbative limit of a kinetic interaction coupling the inflaton to the isocurvaton.  In this non-perturbative limit, the kinetic interaction results in isocurvaton mode functions that oscillate yet decay quickly after horizon crossing.  This oscillatory, decaying behavior is reflected in the primordial non-Gaussianity and other observables.</p>\r\n\r\n<p>Then, we study the perturbative limit of the aforementioned kinetic interaction.  Instead of quickly decaying, oscillating mode functions as in the non-perturbative limit, the mode functions in the perturbative limit decay slowly and do not oscillate.  Due to this slow decay, the primordial bispectrum is enhanced in the squeezed limit.  This enhanced squeezed limit can result in large contributions to galactic halo correlations at long wavelengths.  We explore these long wavelength enhancements to galactic halo correlations in detail.</p>\r\n\r\n<p>We then discuss how quantum loops of isocurvatons in QSFI can significantly contribute to galactic halo correlations at long wavelengths.  In fact, we show that loops can give the most important contributions at long wavelengths in certain models.</p>\r\n\r\n<p>Finally, we consider theories with multiple isocurvatons. Such theories may consist of interactions coupling the isocurvatons to eachother.  These interactions can result in slowly decaying yet oscillating late-time behavior for the isocurvaton mode functions.  This combines the two characteristic features from the non-perturbative (oscillating) and perturbative (slowly-decaying) single isocurvaton QSFI models discussed above.  These features could result in an oscillatory bispectrum that is enhanced in the squeezed limit. Oscillations in the galactic halo power spectrum at long wavelengths may then be indicative of such multi-isocurvaton models.</p>",
        "date": "2019",
        "date_type": "degree",
        "id_number": "CaltechTHESIS:05282019-112333132",
        "refereed": "FALSE",
        "official_url": "https://resolver.caltech.edu/CaltechTHESIS:05282019-112333132",
        "related_url": {
            "items": [
                {
                    "description": "Published version of article adapted for Ch. 2.",
                    "type": "doi",
                    "url": "https://doi.org/10.1007/jhep06(2018)105 "
                },
                {
                    "description": "Published version of article adapted for Ch. 3.",
                    "type": "doi",
                    "url": "https://doi.org/10.1103/physrevd.97.123528 "
                },
                {
                    "description": "Published version of article adapted for Ch. 4.",
                    "type": "doi",
                    "url": "https://doi.org/10.1016/j.physletb.2018.06.026 "
                },
                {
                    "description": "arXiv version of article adapted for Ch. 5.",
                    "type": "arxiv",
                    "url": "https://arxiv.org/abs/1903.11607"
                }
            ]
        },
        "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.",
        "funders": {
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                {
                    "agency": "Department of Energy (DOE)",
                    "grant_number": "DE-SC0011632"
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            ]
        },
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        "reviewer": "Melissa Ray",
        "local_group": {
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        },
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        "deposited_on": "2019-06-10 22:55:15",
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        "divisions": {
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                    "email": "wise@theory.caltech.edu",
                    "id": "Wise-M-B",
                    "name": {
                        "family": "Wise",
                        "given": "Mark B."
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                    "orcid": "0000-0002-9125-801X",
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            ]
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        "thesis_committee": {
            "items": [
                {
                    "email": "clifford.cheung@caltech.edu",
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                    "name": {
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                    "orcid": "0000-0002-9983-9425",
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                },
                {
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                    },
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                },
                {
                    "email": "odore@caltech.edu",
                    "id": "Dor\u00e9-O",
                    "name": {
                        "family": "Dor\u00e9",
                        "given": "Olivier P."
                    },
                    "orcid": "0000-0001-7432-2932",
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                }
            ]
        },
        "thesis_degree": "PHD",
        "thesis_degree_grantor": "California Institute of Technology",
        "thesis_defense_date": "2019-05-28",
        "gradofc_approval_date": "2019-06-10",
        "review_status": "approved",
        "option_major": {
            "items": [
                "physics"
            ]
        },
        "copyright_statement": "Author's Rights Authorization: I hereby certify that, if appropriate, I have obtained a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted here is the same as that approved by my advisory committee.\n\nI hereby grant to California Institute of Technology or its agents the non-exclusive license to archive and make accessible, under the conditions specified under \"Thesis Availability\" in this submission, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation, or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.",
        "pub_year": "2019",
        "author_list": "McAneny, Michael Trevor"
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                    "name": {
                        "family": "Bartolotta",
                        "given": "Anthony Leo"
                    },
                    "orcid": "0000-0003-4971-9545",
                    "show_email": "NO"
                }
            ]
        },
        "title": "The Union of Quantum Field Theory and Non-Equilibrium Thermodynamics",
        "ispublished": "unpub",
        "full_text_status": "public",
        "keywords": "Quantum Field Theory; Nonequilibrium Thermodynamics; Fluctuation Theorems; Flavor Changing Neutral Currents; Statistical Mechanics",
        "abstract": "<p>Quantum field theory is the language used to describe nature at its most fundamental scales; while thermodynamics is a framework to describe the collective behavior of macroscopic systems. Recent advances in non-equilibrium thermodynamics have enabled this framework to be applied to smaller systems operating out of thermal equilibrium. This thesis is concerned with both quantum field theory and non-equilibrium thermodynamics independently and with their intersection.</p>\r\n\r\n<p>First, a purely phenomenological application of quantum field theory is explored in the context of the upcoming Mu2E experiment. This experiment will look for rare decays which would indicate the presence of physics beyond the Standard Model. Using the language of effective field theories, a next-to-leading order analysis of the conversion rate is performed.</p>\r\n\r\n<p>The focus then shifts to an apparent paradox in the Bayesian interpretation of statistical mechanics. For a Bayesian observer making measurements of an open system, the Shannon entropy decreases, in apparent violation of the Second Law of Thermodynamics. It is shown that rather than utilizing the entropy, which can decrease under Bayesian updates, the Second Law for a Bayesian observer can be rephrased in terms\r\nof a cross-entropy which is always non-negative.</p>\r\n\r\n<p>Finally, the intersection of quantum field theory and non-equilibrium thermodynamics is examined. Using quantum work fluctuation theorems, an investigation of how these frameworks can be applied to a driven quantum field theory is performed. For a time-dependent variant of \u03bb\u03c6<sup>4</sup> , analytic expressions for the work distribution functions at one-loop order are derived. These expressions are shown to satisfy the quantum Jarzynski equality and Crooks fluctuation theorem.</p>",
        "date": "2018",
        "date_type": "degree",
        "id_number": "CaltechTHESIS:05312018-124004005",
        "refereed": "FALSE",
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        "related_url": {
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                    "type": "arxiv",
                    "url": "https://arxiv.org/abs/1710.02129"
                },
                {
                    "description": "Published version of article adapted for Ch. 3",
                    "type": "doi",
                    "url": "https://doi.org/10.1103/PhysRevE.94.022102"
                },
                {
                    "description": "Published version of article adapted for Ch. 4",
                    "type": "doi",
                    "url": "https://doi.org/10.1103/PhysRevX.8.011033"
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        },
        "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.",
        "funders": {
            "items": [
                {
                    "agency": "Department of Energy (DOE)",
                    "grant_number": "DE-SC0011632"
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        "reviewer": "Kathy Johnson",
        "local_group": {
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                "Walter Burke Institute for Theoretical Physics"
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        },
        "deposited_by": "Anthony Bartolotta",
        "deposited_on": "2018-06-01 20:06:49",
        "doi": "10.7907/F7VT-7X41",
        "divisions": {
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        "institution": "California Institute of Technology",
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                {
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                    "id": "Wise-M-B",
                    "name": {
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                    },
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                },
                {
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        "thesis_committee": {
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                    "orcid": "0000-0002-9125-801X",
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                    "id": "Preskill-J",
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                },
                {
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                    "id": "Schwab-K-C",
                    "name": {
                        "family": "Schwab",
                        "given": "Keith C."
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                    "orcid": "0000-0001-8216-4815",
                    "role": "member"
                }
            ]
        },
        "thesis_degree": "PHD",
        "thesis_degree_grantor": "California Institute of Technology",
        "thesis_defense_date": "2018-05-24",
        "gradofc_approval_date": "2018-06-01",
        "thesis_awards": "R. Bruce Stewart Prize for Excellence in Teaching, 2018.",
        "review_status": "approved",
        "option_major": {
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        },
        "copyright_statement": "Author's Rights Authorization: I hereby certify that, if appropriate, I have obtained a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted here is the same as that approved by my advisory committee.\n\nI hereby grant to California Institute of Technology or its agents the non-exclusive license to archive and make accessible, under the conditions specified under \"Thesis Availability\" in this submission, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation, or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.",
        "pub_year": "2018",
        "author_list": "Bartolotta, Anthony Leo"
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        "title": "Constraints on Cosmology and Quantum Gravity from Quantum Mechanics and Quantum Field Theory",
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        "keywords": "Cosmology; quantum gravity",
        "abstract": "<p>Typical cosmological states have structure, obey to very good approximation the laws of classical physics on large scales, and are far from equilibrium. Typical quantum-mechanical states have none of these properties. If the universe is described by a state in a Hilbert space, the state and its Hilbert space must therefore obey a number of constraints to describe realistic cosmological spacetimes. In particular, they must admit a quantum-to-classical transition via decoherence that allows for the emergence of classical spacetimes, and such spacetimes must obey gravitational constraints, in particular on the entanglement entropy of subsystems within them. The papers collected in this thesis are concerned with these constraints. We investigate two holographic correspondences inspired by AdS/CFT, the AdS-MERA correspondence, which suggests that anti-de~Sitter space may be given a discretized description as a tensor network, and the ER=EPR duality, which identified entangled qubits with wormholes connecting them. In the former case, we use holographic entropy bounds to severely constrain the properties of any such tensor network; in the latter case we prove a new general-relativistic area theorem which states that an area corresponding to the entanglement entropy in wormhole geometries is exactly conserved. We use information-theoretic constraints to show that under mild assumptions about the black hole interior an observer falling beyond the horizon is unable to verify the claimed cloning of information in the firewall paradox before reaching the singularity. Finally, we analyze the decoherence structures of late-time de~Sitter space and early-time slow-roll eternal inflation. We show that in the former case a universe with an infinite-dimensional Hilbert space and a positive cosmological constant inevitably reaches a maximum-entropy state from which no further branching or decoherence is possible, forbidding the existence of dynamical quantum fluctuations at late time. In the latter case, gravitational-strength interaction among inflaton modes leads to decoherence of sufficiently super-Hubble modes, which we argue backreacts to cause different histories of cosmological evolution on different branches and hence creates the conditions necessary for eternal inflation.</p>",
        "date": "2017",
        "date_type": "degree",
        "id_number": "CaltechTHESIS:05252017-171005406",
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                {
                    "description": "arXiv version of article adapted for Ch. 2",
                    "type": "arxiv",
                    "url": "http://arxiv.org/abs/1504.06632"
                },
                {
                    "description": "Published version of article adapted for Ch. 2",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1088/0004-637X/804/2/131"
                },
                {
                    "description": "arXiv version of article adapted for Ch. 3",
                    "type": "arxiv",
                    "url": "https://arxiv.org/abs/1506.08203"
                },
                {
                    "description": "Published version of article adapted for Ch. 3",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1002/prop.201500053"
                },
                {
                    "description": "arXiv version of article adapted for Ch. 4",
                    "type": "arxiv",
                    "url": "https://arxiv.org/abs/1509.05426"
                },
                {
                    "description": "Published version of article adapted for Ch. 4",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1007/JHEP11(2015)126"
                },
                {
                    "description": "arXiv version of article adapted for Ch. 5",
                    "type": "arxiv",
                    "url": "https://arxiv.org/abs/1604.08217"
                },
                {
                    "description": "Published version of article adapted for Ch. 5",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1007/JHEP07(2016)048"
                },
                {
                    "description": "arXiv version of article adapted for Ch. 6",
                    "type": "arxiv",
                    "url": "https://arxiv.org/abs/1607.05141"
                },
                {
                    "description": "Published version of article adapted for Ch. 6",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1007/JHEP12(2016)026"
                },
                {
                    "description": "arXiv version of article adapted for Ch. 7",
                    "type": "arxiv",
                    "url": "https://arxiv.org/abs/1405.0298"
                },
                {
                    "description": "Published version of article adapted for Ch. 7",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1007/s10701-016-9996-8 "
                },
                {
                    "description": "arXiv version of article adapted for Ch. 8",
                    "type": "arxiv",
                    "url": "https://arxiv.org/abs/1612.04894"
                }
            ]
        },
        "referencetext": {
            "items": [
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        "abstract": "<p>The scattering amplitudes of planar N = 4 super-Yang-Mills theory (sYM) exhibit a number of remarkable analytic structures, including dual conformal symmetry, logarithmic singularities of integrands, and the absence of poles at infinite loop momentum. None of these properties are apparent from our usual formulation of quantum field theory in terms of Lagrangians and Feynman rules. In the past years, the hidden features inspired a dual formulation for scattering amplitudes that is not built on the two pillars of locality and unitarity. Instead, a new geometric formulation in terms of Grassmannians and the amplituhedron emerged, which is based on the key analytic properties of scattering amplitudes in the planar sector of $\\N=4$ super-Yang-Mills theory. Starting from geometric concepts, the amplituhedron geometry derives all properties of scattering amplitudes in said theory, including locality and factorization. From a practical perspective, expanding the amplitude in terms of a local diagrams, the amplituhedron construction implies that scattering amplitudes in planar N=4 super-Yang-Mills are fully specified by a surprisingly simple subset of all unitarity cuts. Concretely, integrands are uniquely (up to an overall constant) fixed by demanding their vanishing on all spurious singularities.</p>\r\n\r\n<p>Extending an initial proposal by Arkani-Hamed, Bourjaily, Cachazo, and Trnka, we conjecture that the same analytic structures extend beyond the planar limit of N=4 super-Yang-Mills. Furthermore we show that the $\\dlog$ and \\emph{no pole at infinity} constraints give the key integrand level analytic information contained in dual conformal symmetry in the planar sector.  While it is presently unclear how to extend either dual conformal symmetry or the amplituhedron picture beyond the planar sector, our results suggest that related concepts might exist and await discovery.</p>\r\n\r\n<p>In order to support our conjectures, we have analyzed several nontrivial multi-loop multi-leg amplitudes. For the nonplanar three-loop four-point and two-loop five point $\\N = 4$ super-Yang-Mills amplitudes, we explicitly construct a complete basis of diagram integrands that has only logarithmic singularities and no poles at infinity. We also give examples at three loops showing how to make the logarithmic singularity properties manifest by writing explicit dlog forms. We give additional evidence at four and five loops supporting the nonplanar logarithmic singularity conjecture. Our investigations show that the singularity structures of planar and nonplanar integrands in N = 4 super-Yang-Mills are strikingly similar. Finally, we express the complete amplitude in terms of our special basis diagrams, with the coefficients determined by the vanishing conditions on the amplitude. By successfully carrying out this procedure, we provide nontrivial evidence that the \u201czero conditions\u201d also carry over into the nonplanar sector. Our analysis suggests that the concept of the amplituhedron can be extended to the nonplanar sector of N = 4 super-Yang-Mills theory and one might hope to ultimately reformulate more general quantum field theories in a geometric language.</p>\r\n\r\n<p>Using the marvelous squaring relation between Yang-Mills and gravity theories discovered by Bern, Carrasco, and Johansson (BCJ), we relate our newly gained knowledge on the Yang-Mills side to properties of gravity. We conjecture that to all loop orders, while N = 8 supergravity has poles at infinity, at least at four points it has only logarithmic singularities at finite locations. We provide nontrivial evidence for these conjectures. We describe the singularity structure of N = 8 supergravity at three loops and beyond.</p>\r\n\r\n<p>In order to approach a geometric formulation for scattering in gravitational theories, we retrace the initial steps taken in planar N=4 super-Yang-Mills in the gravitational setting. In particular, we study on-shell diagrams for gravity theories with any number of supersymmetries and find a compact Grassmannian formula in terms of edge variables of the graphs. Unlike in gauge theory where the analogous form involves only dlog-factors, in gravity we find a non-trivial numerator as well as higher degree poles in the edge variables. Based on the structure of the Grassmannian formula for $\\N=8$ supergravity we conjecture that gravity loop amplitudes also possess similar properties. In particular, we find that there are only logarithmic singularities on cuts with finite loop momentum and that poles at infinity are present.</p>",
        "date": "2017",
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                {
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        "copyright_statement": "Author's Rights Authorization: I hereby certify that, if appropriate, I have obtained a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted here is the same as that approved by my advisory committee.\n\nI hereby grant to California Institute of Technology or its agents the non-exclusive license to archive and make accessible, under the conditions specified under \"Thesis Availability\" in this submission, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation, or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.",
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        "title": "Knots, Trees, and Fields: Common Ground Between Physics and Mathematics",
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        "keywords": "Topological quantum field theory; knots and links; holography; BPS states.",
        "abstract": "<p>One main theme of this thesis is a connection between mathematical physics (in particular, the three-dimensional topological quantum field theory known as Chern-Simons theory) and three-dimensional topology. This connection arises because the partition function of Chern-Simons theory provides an invariant of three-manifolds, and the Wilson-loop observables in the theory define invariants of knots. In the first chapter, we review this connection, as well as more recent work that studies the classical limit of quantum Chern-Simons theory, leading to relations to another knot invariant known as the <math>A</math>-polynomial. (Roughly speaking, this invariant can be thought of as the moduli space of flat <math>SL(2,<bt>C</bt>)</math> connections on the knot complement.) In fact, the connection can be deepened: through an embedding into string theory, categorifications of polynomial knot invariants can be understood as spaces of BPS states.</p>\r\n\r\n<p>We go on to study these homological knot invariants, and interpret spectral sequences that relate them to one another in terms of perturbations of supersymmetric theories. Our point is more general than the application to knots; in general, when one perturbs any modulus of a supersymmetric theory and breaks a symmetry, one should expect a spectral sequence to relate the BPS states of the unperturbed and perturbed theories. We consider several diverse instances of this general lesson. In another chapter, we consider connections between supersymmetric quantum mechanics and the de Rham version of homotopy theory developed by Sullivan; this leads to a new interpretation of Sullivan's minimal models, and of Massey products as vacuum states which are entangled between different degrees of freedom in these models.</p>\r\n\r\n<p>We then turn to consider a discrete model of holography: a Gaussian lattice model defined on an infinite tree of uniform valence. Despite being discrete, the matching of bulk isometries and boundary conformal symmetries takes place as usual; the relevant group is <math>PGL(2,<bt>Q</bt><sub>p</sub>)</math>, and all of the formulas developed for holography in the context of scalar fields on fixed backgrounds have natural analogues in this setting. The key observation underlying this generalization is that the geometry underlying AdS<sub>3</sub>/CFT<sub>2</sub> can be understood algebraically, and the base field can therefore be changed while maintaining much of the structure. Finally, we give some  analysis of <math>A</math>-polynomials under change of base (to finite fields),  bringing things full circle.</p>",
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                    "description": "Preprint; adapted for Chap. 1",
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                {
                    "description": "Preprint; adapted for Chap. 2",
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                    "url": "http://arxiv.org/abs/1511.00978"
                },
                {
                    "description": "Preprint; excerpted for Chap. 3",
                    "type": "arxiv",
                    "url": "http://arxiv.org/abs/1512.07883"
                },
                {
                    "description": "Preprint; adapted for Chap. 4",
                    "type": "arxiv",
                    "url": "http://arxiv.org/abs/1605.07639"
                },
                {
                    "description": "Personal webpage",
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                    "url": "http://theory.caltech.edu/~saberi"
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                {
                    "description": "Published version of article excerpted in Chap. 3",
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                    "url": "http://dx.doi.org/10.1007/JHEP03(2016)004"
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                {
                    "description": "Published version of article constituting Chap. 1",
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                    "url": "http://dx.doi.org/10.1090/conm/613/12235"
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        "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.",
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                    "agency": "U.S. Department of Energy",
                    "grant_number": "DE-SC-0011632"
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                    "grant_number": "DE-FG03-92-ER40701FG-02"
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                {
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                    "description": "Article adapted for Ch. 2",
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                    "url": "http://dx.doi.org/10.1103/PhysRevLett.116.041601"
                },
                {
                    "description": "Article adapted for Ch. 3",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1007/JHEP02(2017)020"
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                {
                    "description": "Article adapted for Ch. 4",
                    "type": "doi",
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        "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.",
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        "keywords": "general relativity; particle physics; quantum gravity; weak gravity conjecture; effective field theory; swampland program; scattering amplitudes; black holes; graviton; unitarity; analyticity; causality; higher-curvature operators; string theory; massive gravity; double copy; ER=EPR conjecture; AdS/CFT correspondence; holography; qubits; entanglement; wormholes; area theorem; tensor networks; multiscale entanglement renormalization ansatz; entropy; entropic gravity; cosmology; attractor; inflation; scalar field; measure; e-folds",
        "abstract": "<p>Many of the most exciting open problems in high-energy physics are related to the behavior and ultimate nature of gravity and spacetime. In this dissertation, several categories of new results in quantum and classical gravity are presented, with applications to our understanding of both quantum field theory and cosmology.</p>\r\n\r\n<p>A fundamental open question in quantum field theory is related to ultraviolet completion: Which low-energy effective field theories can be consistently combined with quantum gravity? A celebrated example of the swampland program---the investigation of this question---is the weak gravity conjecture, which mandates, for a U(1) gauge field coupled consistently to gravity, the existence of a state with charge-to-mass ratio greater than unity. In this thesis, we demonstrate the tension between the weak gravity conjecture and the naturalness principle in quantum field theory, generalize the weak gravity conjecture to multiple gauge fields, and exhibit a model in which the weak gravity conjecture solves the standard model hierarchy problem. Next, we demonstrate that gravitational effective field theories can be constrained by infrared physics principles alone, namely, analyticity, unitarity, and causality. In particular, we derive bounds related to the weak gravity conjecture by placing such infrared constraints on higher-dimension operators in a photon-graviton effective theory. We furthermore place bounds on higher-curvature corrections to the Einstein equations, first using analyticity of graviton scattering amplitudes and later using unitarity of an arbitrary tree-level completion, as well as constrain the couplings in models of massive gravity. Completing our treatment of perturbative quantum gravity, outside of the swampland program, we also reformulate graviton perturbation theory itself, finding a field redefinition and gauge-fixing of the Einstein-Hilbert action that drastically simplifies the Feynman diagram expansion. Furthermore, our reformulation also exhibits a hidden symmetry of general relativity that corresponds to the double copy relations equating gravity amplitudes to sums of squares of gluon amplitudes in Yang-Mills theory, a surprising correspondence that yields insights into the structure of quantum field theories.</p>\r\n\r\n<p>Moving beyond perturbation theory into nonperturbative questions in quantum gravity, we consider the deep relation between spacetime geometry and properties of the quantum state. In the context of holography and the anti-de Sitter/conformal field theory correspondence, we test the proposed ER=EPR correspondence equating quantum entanglement with wormholes in spacetime. In particular, we demonstrate that the no-cloning theorem in quantum mechanics and the no-go theorem for topology change of spacetime are dual under the ER=EPR correspondence. Furthermore, we prove that the presence of a wormhole is not an observable in quantum gravity, rescuing ER=EPR from potential violation of linearity of quantum mechanics. Excitingly, we also prove a new area theorem within classical general relativity for arbitrary dynamics of two collections of wormholes and black holes; this area theorem is the ER=EPR analogue of entanglement conservation. We next turn our attention to the emergence of spacetime itself, placing consistency conditions on the proposed correspondence between anti-de Sitter space and the Multiscale Entanglement Renormalization Ansatz, a special tensor network that constitutes a computational tool for finding the ground state of certain quantum systems. Further examining the role of quantum entanglement entropy in the emergence of general relativity, we ask whether there is a consistent microscopic formulation of the entropy in theories of entropic gravity; we find that our results weaken equation-of-state proposals for entropic gravity while strengthening those more akin to holography, guiding future investigation of theories of emergent gravity.</p>\r\n\r\n<p>Finally, we examine the consequences of the Hamiltonian constraint in classical gravity for the early universe. The Hamiltonian constraint allows for the Liouville measure on the phase space of cosmological parameters for homogeneous, isotropic universes to be converted into a probability distribution on trajectories, or equivalently, on initial conditions. However, this measure diverges on the set of spacetimes that are spatially flat, like the observable universe. In this thesis, we derive the unique, classical, Hamiltonian-conserved measure for the subset of flat universes. This result allows for distinction between different models of cosmic inflation with similar observable predictions; for example, we find that the measure favors models of large-scale inflation, as such potentials more naturally produce the number of e-folds necessary to match cosmological observations.</p>",
        "date": "2017",
        "date_type": "degree",
        "id_number": "CaltechTHESIS:04072017-131612641",
        "refereed": "FALSE",
        "official_url": "https://resolver.caltech.edu/CaltechTHESIS:04072017-131612641",
        "related_url": {
            "items": [
                {
                    "description": "Article appearing in Ch. 2: C. Cheung and G. N. Remmen, \u201cNaturalness and the Weak Gravity Conjecture,\u201d Phys. Rev. Lett. 113 (2014) 051601, arXiv:1402.2287 [hep-ph].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1103/PhysRevLett.113.051601"
                },
                {
                    "description": "Article appearing in Ch. 3: C. Cheung and G. N. Remmen, \u201cInfrared Consistency and the Weak Gravity Conjecture,\u201d JHEP 1412 (2014) 087, arXiv:1407.7865 [hep-th].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1007/JHEP12(2014)087"
                },
                {
                    "description": "Article appearing in Ch. 4: B. Bellazzini, C. Cheung, and G. N. Remmen, \u201cQuantum Gravity Constraints from Unitarity and Analyticity,\u201d Phys. Rev. D93 (2016) 064076, arXiv:1509.00851 [hep-th].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1103/PhysRevD.93.064076"
                },
                {
                    "description": "Article appearing in Ch. 5: C. Cheung and G. N. Remmen, \u201cPositive Signs in Massive Gravity,\u201d JHEP 04 (2016) 002, arXiv:1601.04068 [hep-th].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1007/JHEP04(2016)002"
                },
                {
                    "description": "Article appearing in Ch. 6: C. Cheung and G. N. Remmen, \u201cPositivity of Curvature-Squared Corrections in Gravity,\u201d Phys. Rev. Lett. 118 (2017) 051601, arXiv:1608.02942 [hep-th].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1103/PhysRevLett.118.051601"
                },
                {
                    "description": "Article appearing in Ch. 7: C. Cheung and G. N. Remmen, \u201cTwofold Symmetries of the Pure Gravity Action,\u201d JHEP 01 (2017) 104, arXiv:1612.03927 [hep-th].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1007/JHEP01(2017)104"
                },
                {
                    "description": "Article appearing in Ch. 8: N. Bao, J. Pollack, and G. N. Remmen, \u201cSplitting Spacetime and Cloning Qubits: Linking No-Go Theorems across the ER=EPR Duality,\u201d Fortsch. Phys. 63 (2015) 705, arXiv:1506.08203 [hep-th].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1002/prop.201500053"
                },
                {
                    "description": "Article appearing in Ch. 9: N. Bao, J. Pollack, and G. N. Remmen, \u201cWormhole and Entanglement (Non-)Detection in the ER=EPR Correspondence,\u201d JHEP 11 (2015) 126, arXiv:1509.05426 [hep-th].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1007/JHEP11(2015)126"
                },
                {
                    "description": "Article appearing in Ch. 10: G. N. Remmen, N. Bao, and J. Pollack, \u201cEntanglement Conservation, ER=EPR, and a New Classical Area Theorem for Wormholes,\u201d JHEP 07 (2016) 048, arXiv:1604.08217 [hep-th].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1007/JHEP07(2016)048"
                },
                {
                    "description": "Article appearing in Ch. 11: N. Bao, C. Cao, S. M. Carroll, A. Chatwin-Davies, N. Hunter-Jones, J. Pollack, and G. N. Remmen, \u201cConsistency Conditions for an AdS/MERA Correspondence,\u201d Phys. Rev. D91 (2015) 125036, arXiv:1504.06632 [hep-th].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1103/PhysRevD.91.125036"
                },
                {
                    "description": "Article appearing in Ch. 12: S. M. Carroll and G. N. Remmen, \u201cWhat is the Entropy in Entropic Gravity?,\u201d Phys. Rev. D93 (2016) 124052, arXiv:1601.07558 [hep-th].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1103/PhysRevD.93.124052"
                },
                {
                    "description": "Article appearing in Ch. 13: G. N. Remmen and S. M. Carroll, \u201cAttractor Solutions in Scalar-Field Cosmology,\u201d Phys.Rev. D88 (2013) 083518, arXiv:1309.2611 [gr-qc].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1103/PhysRevD.88.083518"
                },
                {
                    "description": "Article appearing in Ch. 14: G. N. Remmen and S. M. Carroll, \u201cHow Many e-Folds Should We Expect from High-Scale Inflation?,\u201d Phys. Rev. D90 (2014) 063517, arXiv:1405.5538 [hep-th].",
                    "type": "doi",
                    "url": "http://dx.doi.org/10.1103/PhysRevD.90.063517"
                }
            ]
        },
        "referencetext": {
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            ]
        },
        "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.",
        "funders": {
            "items": [
                {
                    "agency": "Hertz Foundation"
                },
                {
                    "agency": "NSF Graduate Research Fellowship",
                    "grant_number": "DGE-1144469"
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        "collection": "CaltechTHESIS",
        "reviewer": "Melissa Ray",
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        "suggestions": "Files temporarily withheld until Jun 6, 2017 - released to public view 6/7/2017",
        "deposited_by": "Grant Remmen",
        "deposited_on": "2017-05-30 23:21:23",
        "doi": "10.7907/Z90R9MD1",
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        "title": "3d-3d Correspondence for Seifert Manifolds",
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        "keywords": "3d-3d correspondence; Seifert manifold; Chern-Simons theory; Verlinde formula; Higgs bundles; Hitchin moduli space; geometric quantization; vortex moduli space; string theory; superconformal index",
        "abstract": "<p>In this dissertation, we investigate the 3d-3d correspondence for Seifert manifolds. This correspondence, originating from string theory and M-theory, relates the dynamics of three-dimensional quantum field theories with the geometry of three-manifolds.</p>\r\n\r\n<p>We first start in Chapter II with the simplest cases and demonstrate the extremely rich interplay between geometry and physics even when the manifold is just a direct product. In this particular case, by examining the problem from various vantage points, we generalize the celebrated relations between 1) the Verlinde algebra, 2) quantum cohomology of the Grassmannian, 3) quantization of Chern-Simons theory and 4) the index theory of the moduli space of flat connections to a completely new set of relations between 1) the \"equivariant Verlinde algebra\" for a complex group, 2) the equivariant quantum K-theory of the vortex moduli space, 3) quantization of complex Chern-Simons theory and 4) the equivariant index theory of the moduli space of Higgs bundles.</p>\r\n\r\n<p>In Chapter III we move one step up in complexity by looking at the next simplest three-manifolds---lens spaces. We test the 3d-3d correspondence for theories that are labeled by lens spaces, reaching a full agreement between the index of the 3d N=2 \"lens space theory\" and the partition function of complex Chern-Simons theory on the lens space.</p> \r\n\r\n<p>The two different types of manifolds studied in the previous two chapters also have interesting interactions. We show in Chapter IV the equivalence between two seemingly distinct 2d TQFTs: one comes from the \"Coulomb branch index\" of the class S theory on a lens space, the other is the \"equivariant Verlinde formula\". We check this relation explicitly for SU(2) and demonstrate that the SU(N) equivariant Verlinde algebra can be derived using field theory via (generalized) Argyres-Seiberg dualities.</p>\r\n\r\n<p>In the last chapter, we directly jump to the most general situation, giving a proposal for the 3d-3d correspondence for an arbitrary Seifert manifold. We remark on the huge class of novel dualities relating different descriptions of the \"Seifert theory\" associated with the same Seifert manifold and suggest ways that our proposal could be tested.</p>",
        "date": "2016",
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                    "description": "Article adapted for Chapter 2",
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                    "url": "http://arxiv.org/abs/1501.01310"
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                    "url": "http://arxiv.org/abs/1503.04809"
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                "Three-D-Three-D Correspondence for Seifert Manifolds"
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        "title": "Branes and Supersymmetric Quantum Field Theories",
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        "abstract": "<p>Since the discovery of D-branes as non-perturbative, dynamic objects in string theory, various configurations of branes in type IIA/B string theory and M-theory have been considered to study their low-energy dynamics described by supersymmetric quantum field theories.</p>\r\n\r\n<p>One example of such a construction is based on the description of Seiberg-Witten curves of four-dimensional N = 2 supersymmetric gauge theories as branes in type IIA string theory and M-theory. This enables us to study the gauge theories in strongly-coupled regimes. Spectral networks are another tool for utilizing branes to study non-perturbative regimes of two- and four-dimensional supersymmetric theories. Using spectral networks of a Seiberg-Witten theory we can find its BPS spectrum, which is protected from quantum corrections by supersymmetry, and also the BPS spectrum of a related two-dimensional N = (2,2) theory whose (twisted) superpotential is determined by the Seiberg-Witten curve. When we don\u2019t know the perturbative description of such a theory, its spectrum obtained via spectral networks is a useful piece of information. In this thesis we illustrate these ideas with examples of the use of Seiberg-Witten curves and spectral networks to understand various two- and four-dimensional supersymmetric theories.</p>\r\n\r\n<p>First, we examine how the geometry of a Seiberg-Witten curve serves as a useful tool for identifying various limits of the parameters of the Seiberg-Witten theory, including Argyres-Seiberg duality and Argyres-Douglas fixed points. Next, we consider the low-energy limit of a two-dimensional N = (2, 2) supersymmetric theory from an M-theory brane configuration whose (twisted) superpotential is determined by the geometry of the branes. We show that, when the two-dimensional theory flows to its infra-red fixed point, particular cases realize Kazama-Suzuki coset models. We also study the BPS spectrum of an Argyres-Douglas type superconformal field theory on the Coulomb branch by using its spectral networks. We provide strong evidence of the equivalence of superconformal field theories from different string-theoretic constructions by comparing their BPS spectra.</p>",
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        "copyright_statement": "Author's Rights Authorization: I hereby certify that, if appropriate, I have obtained a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted here is the same as that approved by my advisory committee.\n\nI hereby grant to California Institute of Technology or its agents the non-exclusive license to archive and make accessible, under the conditions specified under \"Thesis Availability\" in this submission, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation, or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.",
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        "title": "Cosmological Consequences of Dark Matter Interactions and Vacuum Fluctuations",
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        "keywords": "dark matter; self-interacting dark matter; chameleon; inflation; cosmology; de Sitter; Higgs",
        "abstract": "<p>This thesis is divided into two parts: interacting dark matter and fluctuations in cosmology. There is an incongruence between the properties that dark matter is expected to possess between the early universe and the late universe. Weakly-interacting dark matter yields the observed dark matter relic density and is consistent with large-scale structure formation; however, there is strong astrophysical evidence in favor of the idea that dark matter has large self-interactions. The first part of this thesis presents two models in which the nature of dark matter fundamentally changes as the universe evolves. In the first model, the dark matter mass and couplings depend on the value of a chameleonic scalar field that changes as the universe expands. In the second model, dark matter is charged under a hidden SU(N) gauge group and eventually undergoes confinement. These models introduce very different mechanisms to explain the separation between the physics relevant for freezeout and for small-scale dynamics.</p>\r\n\r\n<p>As the universe continues to evolve, it will asymptote to a de Sitter vacuum phase. Since there is a finite temperature associated with de Sitter space, the universe is typically treated as a thermal system, subject to rare thermal fluctuations, such as Boltzmann brains. The second part of this thesis begins by attempting to escape this unacceptable situation within the context of known physics: vacuum instability induced by the Higgs field. The vacuum decay rate competes with the production rate of Boltzmann brains, and the cosmological measures that have a sufficiently low occurrence of Boltzmann brains are given more credence. Upon further investigation, however, there are certain situations in which de Sitter space settles into a quiescent vacuum with no fluctuations. This reasoning not only provides an escape from the Boltzmann brain problem, but it also implies that vacuum states do not uptunnel to higher-energy vacua and that perturbations do not decohere during slow-roll inflation, suggesting that eternal inflation is much less common than often supposed. Instead, decoherence occurs during reheating, so this analysis does not alter the conventional understanding of the origin of density fluctuations from primordial inflation.</p>",
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        "author_list": "Boddy, Kimberly K."
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        "abstract": "<p>The works presented in this thesis explore a variety of extensions of the standard model of particle physics which are motivated by baryon number (B) and lepton number (L), or some combination thereof.  In the standard model, both baryon number and lepton number are accidental global symmetries violated only by non-perturbative weak effects, though the combination B-L is exactly conserved.  Although there is currently no evidence for considering these symmetries as fundamental, there are strong phenomenological bounds restricting the existence of new physics violating B or L.  In particular, there are strict limits on the lifetime of the proton whose decay would violate baryon number by one unit and lepton number by an odd number of units.</p>\r\n\r\n<p>The first paper included in this thesis explores some of the simplest possible extensions of the standard model in which baryon number is violated, but the proton does not decay as a result.  The second paper extends this analysis to explore models in which baryon number is conserved, but lepton flavor violation is present.  Special attention is given to the processes of \u03bc to e conversion and \u03bc \u2192 e\u03b3 which are bound by existing experimental limits and relevant to future experiments.</p>\r\n\r\n<p>The final two papers explore extensions of the minimal supersymmetric standard model (MSSM) in which both baryon number and lepton number, or the combination B-L, are elevated to the status of being spontaneously broken local symmetries.  These models have a rich phenomenology including new collider signatures, stable dark matter candidates, and alternatives to the discrete R-parity symmetry usually built into the MSSM in order to protect against baryon and lepton number violating processes.</p>",
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        "title": "Charged Pion Contribution to the Anomalous Magnetic Moment of the Muon",
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        "keywords": "magnetic moment; LBL; charged pion; chiral perturbation theory; g-2",
        "abstract": "The model dependence inherent in hadronic calculations is one of the dominant sources of uncertainty in the theoretical prediction of the anomalous magnetic moment of the muon.  In this thesis, we focus on the charged pion contribution and turn a critical eye on the models employed in the few previous calculations of $a_\\mu^{\\pi^+\\pi^-}$.  Chiral perturbation theory provides a check on these models at low energies, and we therefore calculate the charged pion contribution to light-by-light (LBL) scattering to $\\mathcal{O}(p^6)$.  We show that the dominant corrections to the leading order (LO) result come from two low energy constants which show up in the form factors for the $\\gamma\\pi\\pi$ and $\\gamma\\gamma\\pi\\pi$ vertices.  Comparison with the existing models reveal a potentially significant omission - none include the pion polarizability corrections associated with the $\\gamma\\gamma\\pi\\pi$ vertex.  We next consider alternative models where the pion polarizability is produced through exchange of the $a_1$ axial vector meson.  These have poor UV behavior, however, making them unsuited for the $a_\\mu^{\\pi^+\\pi^-}$ calculation.  We turn to a simpler form factor modeling approach, generating two distinct models which reproduce the pion polarizability corrections at low energies, have the correct QCD scaling at high energies, and generate finite contributions to $a_\\mu^{\\pi^+\\pi^-}$.  With these two models, we calculate the charged pion contribution to the anomalous magnetic moment of the muon, finding values larger than those previously reported: $a_\\mu^\\mathrm{I} = -1.779(4)\\times10^{-10}\\,,\\,a_\\mu^\\mathrm{II} = -4.892(3)\\times10^{-10}$.",
        "date": "2013",
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        "thesis_degree": "PHD",
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        "thesis_defense_date": "2013-05-16",
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        "copyright_statement": "Author's Rights Authorization: I hereby certify that, if appropriate, I have obtained a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted here is the same as that approved by my advisory committee.\n\nI hereby grant to California Institute of Technology or its agents the non-exclusive license to archive and make accessible, under the conditions specified under \"Thesis Availability\" in this submission, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation, or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.",
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        "title": "Symmetries in Three-Dimensional Superconformal Quantum Field Theories",
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        "abstract": "<p>Many examples of gauge-gravity duality and quantum equivalences of different-looking three-dimensional Quantum Field Theories indicate the existence of continuous symmetries whose currents are not built from elementary, or perturbative, elds used to write down the Lagrangian. These symmetries are called hidden or nonperturbative.</p>\r\n\r\n<p>We describe a method for studying continuous symmetries in a large class of three-dimensional supersymmetric gauge theories which, in particular, enables one to explore nonperturbative global symmetries and supersymmetries. As an application of the method, we prove conjectured supersymmetry enhancement in strongly coupled ABJM theory from N = 6 to N = 8 and nd additional nonperturbative evidence for its duality to the N = 8 U(N) SYM theory for the minimal value of the Chern-Simons coupling. Hidden supersymmetry is also shown to occur in N = 4 d = 3 SQCD with one fundamental and one adjoint hypermultiplets. An innite family of N = 6 d = 3 ABJ theories is proved to have hidden N = 8 superconformal symmetry and hidden parity on the quantum level. We test several conjectural dualities between ABJ theories and theories proposed by Bagger and Lambert, and Gustavsson by comparing superconformal indices of these theories. Comparison of superconformal indices is also used to test dualities between N = 2 d = 3 theories proposed by Aharony, the analysis of whose chiral rings teaches some general lessons about nonperturbative chiral operators of strongly coupled 3d supersymmetric gauge theories.</p>\r\n\r\n<p>As another application of our method we consider examples of hidden global symmetries in a class of quiver three-dimensional N = 4 superconformal gauge theories. Finally, we point out to the relations between some basic properties of superconformal N = 6 theories\r\nand their symmetries.</p>\r\n\r\n<p>The results presented in this thesis were obtained in a series of papers [1, 2, 3, 4, 5].</p>",
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        "abstract": "<p>In this thesis we apply the technique of localization to three-dimensional N=2 superconformal field theories.  We consider both theories which are exactly superconformal, and those which are believed to flow to nontrivial superconformal fixed points, for which we consider implicitly these fixed points.  We find that in such theories, the partition function and certain supersymmetric observables, such as Wilson loops, can be computed exactly by a matrix model.  This matrix model consists of an integral over g, the Lie algebra of the gauge group of the theory, of a certain product of 1-loop factors and classical contributions.  One can also consider a space of supersymmetric deformations of the partition function corresponding to the set of abelian global symmetries.</p>\r\n         \r\n<p>In the second part of the thesis we apply these results to test dualities.  We start with the case of ABJM theory, which is dual to M-theory on an asymptotically AdS_4xS^7 background.  We extract strong coupling results in the field theory, which can be compared to semiclassical, weak coupling results in the gravity theory, and a nontrivial agreement is found.  We also consider several classes of dualities between two three-dimensional field theories, namely, 3D mirror symmetry, Aharony duality, and Giveon-Kutasov duality.  Here the dualities are typically between the IR limits of two Yang-Mills theories, which are strongly coupled in three dimensions since Yang-Mills theory is asymptotically free here.  Thus the comparison is again very nontrivial, and relies on the exactness of the localization computation.  We also compare the deformed partition functions, which tests the mapping of global symmetries of the dual theories.  Finally, we discuss some recent progress in the understanding of general three-dimensional theories in the form of the F-theorem, a conjectured analogy to the a-theorem in four dimensions and c-theorem in two dimensions, which is closely related to the localization computation.</p>",
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        "title": "4d/2d Correspondence: Instantons and W-Algebras",
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        "copyright_statement": "Author's Rights Authorization: I hereby certify that, if appropriate, I have obtained a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted here is the same as that approved by my advisory committee.\n\nI hereby grant to California Institute of Technology or its agents the non-exclusive license to archive and make accessible, under the conditions specified under \"Thesis Availability\" in this submission, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation, or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.",
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        "abstract": "<p>In this thesis, we consider two aspects of the conjectured gauge theory/string theory correspondence between three-dimensional maximal supersymmetric conformal field theories, which describe the world-volume theory of multiple M2-branes in flat space, and M-theory on AdS<sub>4</sub> x S<sup>7</sup>.</p>\r\n\r\n<p>First we study three classes of N = 6,8 superconformal Chern-Simons theories that are related to the gauge theory side of the correspondence: the Bagger-Lambert (BL) theories based on 3-algebras, the Lorentzian signature 3-algebra theories, and the Aharony-Bergman-Jafferis-Maldacena (ABJM) theories. We verify the superconformal symmetry of the BL theory, prove that it is parity conserving and conjecture the (by now proven) uniqueness of its SO(4) realization. We then consider the Lorentzian signature 3-algebra theories and show that although the ghosts can be removed to ensure unitarity by gauging certain global symmetries, the resulting theories spontaneously break the conformal symmetry and reduce to maximally supersymmetric three-dimensional Yang-Mills theories.  After this, we recast the ABJM theory in a form for which the SU(4) R-symmetry of the action is manifest; then we use this form to verify in complete detail the OSp(6|4) superconformal symmetry of the theory and to express the scalar potential as a sum of squares.</p>\r\n\r\n<p>Next, we study the one-loop correction to the energy of a point-particle and circular string solutions to type IIA string theory on AdS<sub>4</sub> x CP<sup>3</sup>. We compute the spectrum of fluctuations for each of these solutions using two techniques, known as the algebraic curve approach and the world-sheet approach. We propose a new prescription for computing the one-loop corrections that gives well-defined results and agrees with the predictions of the all-loop Bethe ansatz for our point-particle and circular string solutions as well as for previous folded-spinning string solutions.</p>",
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        "abstract": "<p>This thesis discusses two topics in cosmology that resulted in two independent publications.  The first topic concerns persistent anisotropy during inflation and the second topic concerns a model of baryophillic dark matter.</p>  \r\n\r\n<p>The motivation for the project contained within chapter one came from indications in the cosmic microwave background data that seemed to suggest that there may be a cosmologically preferred direction.  Moira Gresham and I derived quantitative predictions about the signals one would observe in Cosmic Microwave Background data if isotropy is not assumed during inflation.  We considered a particular example of a dynamical theory of anisotropic inflation that is characterized by a scalar field which is nonminimally coupled to an isotropy breaking abelian gauge field, thereby slowing the decay of the gauge field energy density.</p>\r\n\r\n<p>The motivation for the project contained within chapter two came from the observation that the global symmetries B (baryon number) and L (lepton number) of the standard model Lagrangian must be broken by higher-dimensional operators at a very high scale.  Pavel F. Perez,  Mark B. Wise and I analyzed a model that explained the protection of these accidental global symmetries by promoting B and L to gauge symmetries.  This model has a natural dark matter, candidate and we discuss the experimental constraints on the parameters in the theory.</p>  \r\n\r\n<p>Unexpected results are found in each chapter.  For example, in chapter two, we find that the anisotropic contribution to the tensor power spectrum is suppressed with respect to that of the scalar power spectrum and, in chapter three, we show that a baryon asymmetry can be generated even within a model that has baryon number as a gauge symmetry.</p> ",
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        "title": "Integrability of N = 6 Chern-Simons theory",
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        "abstract": "In 2008, Aharony, Bergman, Jafferis, and Maldacena (ABJM) discovered a three-dimensional Chern-Simons theory with N = 6 supersymmetry and conjectured that in a certain limit, this theory is dual to type IIA string theory on AdS4xCP3. Since then, a great deal of evidence has been accumulated which suggests that the ABJM theory is integrable in the planar limit. Integrability is a very useful property that allows many physical observables, such as anomalous dimensions and scattering amplitudes, to be computed efficiently. In the first half of this thesis, we will explain how to use integrabilty to compute the anomalous dimensions of long, single-trace operators in the ABJM theory. In particular, we will describe how to compute them at weak coupling using a Bethe Ansatz, and how to compute them at strong coupling using string theory. The latter approach involves using algebraic curve and world-sheet techniques to compute the energies of string states dual to gauge theory operators. In the second half of this thesis, we will discuss integrability from the point of view of on-shell scattering amplitudes in the ABJM theory. In particular, we will describe how to parameterize the amplitudes in terms of supertwistors and how to relate higher-point tree-level amplitudes to lower-point tree-level amplitudes using a recursion relation. We will also explain how this recursion relation can be used to show that all tree-level amplitudes of the ABJM theory are invariant under dual superconformal symmetry. This symmetry is hidden from the point of the action and implies that the theory has Yangian symmetry, which is a key feature of integrability. This thesis is mainly based on the material in [94], [76], and [77].",
        "date": "2011",
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        "refereed": "FALSE",
        "official_url": "https://resolver.caltech.edu/CaltechTHESIS:05122011-105136289",
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        "collection": "CaltechTHESIS",
        "reviewer": "Kathy Johnson",
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        "abstract": "<p>The thesis covers two topics in string theory and quantum field theory. First, we realize metastable vacua in various supersymmetric gauge theories. Specifically, we consider the Coulomb branch of any N = 2 supersymmetric gauge theory, and perturb it by a superpotential and engineer a metastable vacuum at a point. We also study its relation to Kahler normal coordinates and Fayet-Iliopoulos terms. Having studied the metastable construction, we apply this to general gauge mediation. We show how to compute the current correlators when the hidden sector is strongly coupled in specific examples.</p>\r\n\r\n<p>Next, we consider gauge/gravity dualities. We apply dualities to the investigation of various strongly coupled field theories. In one example, we construct M-theory supergravity solutions with the nonrelativistic Schroedinger symmetry starting from the warped AdS_5 metric with N = 1 supersymmetry. We impose that the lightlike direction is compact by making it a nontrivial U(1) bundle over the compact space. In another example, we show that, in a gravity theory with a Chern-Simons coupling, the Reissner-Nordstrom black hole in anti-de Sitter space is unstable depending on the value of the Chern-Simons coupling. The analysis suggests that the final configuration is likely to be a spatially modulated phase.</p>",
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        "copyright_statement": "Author's Rights Authorization: I hereby certify that, if appropriate, I have obtained a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted here is the same as that approved by my advisory committee.\n\nI hereby grant to California Institute of Technology or its agents the non-exclusive license to archive and make accessible, under the conditions specified under \"Thesis Availability\" in this submission, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation, or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.",
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        "abstract": "This thesis is comprised primarily of work from three independent papers,  written in collaboration with Sean Carroll, Tim Dulaney, and Heywood Tam.  The original motivation for the projects undertaken came from revisiting the standard assumption of spatial isotropy during inflation. Each project relates to the spontaneous breaking of Lorentz symmetry---in early Universe cosmology or in the context of effective field theory, in general.  Chapter 1 is an introductory chapter that provides context for the thesis. Chapter 2 is an investigation of the stability of theories in which Lorentz invariance is spontaneously broken by fixed-norm vector \"aether\" fields.  It is shown that models with generic kinetic terms are plagued either by ghosts or by tachyons, and are therefore physically unacceptable. Chapter 3 is an investigation of the phenomenological properties of the one low-energy effective theory of spontaneous Lorentz symmetry breaking found in the previous chapter to have a globally bounded Hamiltonian and a perturbatively stable vacuum---the theory in which the Lagrangian takes the form of a sigma model.  In chapter 4 cosmological perturbations in a dynamical theory of inflation in which an Abelian gauge field couples directly to the inflaton are examined. The dominant effects of a small, persistent anisotropy on the primordial gravitational wave and curvature perturbation power spectra are found using the \"in-in\" formalism of perturbation theory.  It is found that the primordial power spectra of cosmological perturbations gain significant direction dependence and that the fractional direction dependence of the tensor power spectrum is suppressed in comparison to that of the scalar power spectrum. ",
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            "items": [
                "\\bibitem{Carroll:2009em}\r\nS.~M. Carroll, T.~R. Dulaney, M.~I. Gresham, and H.~Tam,\r\n\\newblock Phys. Rev. {\\bf D79}, 065011 (2009), arXiv:0812.1049.\r\n%%CITATION = 0812.1049;%%\r\n\r\n\\bibitem{Carroll:2009en}\r\nS.~M. Carroll, T.~R. Dulaney, M.~I. Gresham, and H.~Tam,\r\n\\newblock Phys. Rev. {\\bf D79}, 065012 (2009), arXiv:0812.1050.\r\n%%CITATION = 0812.1050;%%\r\n\r\n\\bibitem{Dulaney:2010sq}\r\nT.~R. Dulaney and M.~I. Gresham,\r\n\\newblock Phys. Rev. {\\bf D} (2010), arXiv:1001.2301.\r\n%%CITATION = 1001.2301;%%\r\n\r\n\\bibitem{Baumann:2008bn}\r\nD.~Baumann and H.~V. Peiris,\r\n\\newblock Adv. Sci. Lett. {\\bf 2}, 105 (2009), arXiv:0810.3022.\r\n%%CITATION = 0810.3022;%%\r\n\r\n\\bibitem{Guth:1980zm}\r\nA.~H. Guth,\r\n\\newblock Phys. Rev. {\\bf D23}, 347 (1981).\r\n%%CITATION = PHRVA,D23,347;%%\r\n\r\n\\bibitem{Ackerman:2007nb}\r\nL.~Ackerman, S.~M. Carroll, and M.~B. Wise,\r\n\\newblock Phys. Rev. {\\bf D75}, 083502 (2007), arXiv:astro-ph/0701357.\r\n%%CITATION = ASTRO-PH/0701357;%%\r\n\r\n\\bibitem{Watanabe:2009ct}\r\nM.-a. Watanabe, S.~Kanno, and J.~Soda,\r\n\\newblock Phys. Rev. Lett. {\\bf 102}, 191302 (2009), arXiv:0902.2833.\r\n%%CITATION = 0902.2833;%%\r\n\r\n\\bibitem{Mukhanov:2005kx}\r\nV.~F. Mukhanov,\r\n\\newblock {\\em Physical Foundations of Cosmology} (Cambridge University Press,\r\n  Cambridge, UK, 2005).\r\n\r\n\\bibitem{Weinberg:2008zzc}\r\nS.~Weinberg,\r\n\\newblock {\\em Cosmology} (Oxford University Press, 2008).\r\n\r\n\\bibitem{Wald:1983ky}\r\nR.~W. Wald,\r\n\\newblock Phys. Rev. {\\bf D28}, 2118 (1983).\r\n%%CITATION = PHRVA,D28,2118;%%\r\n\r\n\\bibitem{bianchi}\r\nL.~Bianchi,\r\n\\newblock Soc. Ital. Sci. Mem. di Mat. {\\bf 11} (1898).\r\n\r\n\\bibitem{Jacobson:2000xp}\r\nT.~Jacobson and D.~Mattingly,\r\n\\newblock Phys. 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            ]
        },
        "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.",
        "funders": {
            "items": [
                {
                    "agency": "NSF Graduate Research Fellowship"
                },
                {
                    "agency": "National Defense Science and Engineering Graduate Fellowship"
                }
            ]
        },
        "collection": "CaltechTHESIS",
        "reviewer": "Gayle Hammer",
        "local_group": {
            "items": [
                "Caltech Theory"
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        },
        "deposited_by": "Moira Gresham",
        "deposited_on": "2010-05-26 15:00:57",
        "doi": "10.7907/9G69-3Z95",
        "divisions": {
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        "institution": "California Institute of Technology",
        "thesis_type": "phd",
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            "items": [
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                    "email": "wise@theory.caltech.edu",
                    "id": "Wise-M-B",
                    "name": {
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                        "given": "Sunil"
                    },
                    "orcid": "0000-0002-1098-7174",
                    "role": "member"
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            ]
        },
        "thesis_degree": "PHD",
        "thesis_degree_grantor": "California Institute of Technology",
        "thesis_defense_date": "2010-05-06",
        "gradofc_approval_date": "2010-05-25",
        "review_status": "approved",
        "option_major": {
            "items": [
                "physics"
            ]
        },
        "copyright_statement": "Author's Rights Authorization: I hereby certify that, if appropriate, I have obtained a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted here is the same as that approved by my advisory committee.\n\nI hereby grant to California Institute of Technology or its agents the non-exclusive license to archive and make accessible, under the conditions specified under \"Thesis Availability\" in this submission, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation, or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.",
        "pub_year": "2010",
        "author_list": "Gresham, Moira I."
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        "title": "Supersymmetry: From Baryogenesis at the Electroweak Phase Transition to Low-Energy Precision Experiments",
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        "title": "Aspects of Topological String Theory",
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        "abstract": "Two aspects of the topological string and its applications are considered in this thesis. Firstly, non-perturbative contributions to the OSV conjecture relating four-dimensional extremal black holes and the closed topological string partition function are studied. A new technique is formulated for encapsulating these contributions for the case of a Calabi-Yau manifold constructed by fibering two line bundle over a torus, with the unexpected property that the resulting non-perturbative completion of the topological string partition function is such that the black hole partition function is equal to a product of a chiral and an anti-chiral function. This new approach is considered both in the context of the requirement of background independence for the topological string, and for more general Calabi-Yau manifolds. Secondly, this thesis provides a microscopic derivation of the open topological string holomorphic anomaly equations proposed by Walcher in arXiv:0705.4098 under the assumption that open string moduli do not contribute. In doing so, however, new anomalies are found for compact Calabi-Yau manifolds when the disk one-point functions (string to boundary amplitudes) are non-zero. These new anomalies introduce coupling to wrong moduli (complex structure moduli in A-model and Kahler moduli in B-model), and spoil the recursive structure of the holomorphic anomaly equations. For vanishing disk one-point functions, the open string holomorphic anomaly equations can be integrated to solve for amplitudes recursively, using a Feynman diagram approach, for which a proof is presented.",
        "date": "2008",
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        "title": "Holomorphic Anomaly Equations in Topological String Theory",
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        "abstract": "<p>In this thesis we discuss various aspects of topological string theories. In particular we provide a derivation of the holomorphic anomaly equation for open strings and study aspects of the Ooguri, Strominger, and Vafa conjecture.</p>\r\n\r\n<p>Topological string theory is a computable theory. The amplitudes of the closed topological string satisfy a holomorphic anomaly equation, which is a recursive differential equation. Recently this equation has been extended to the open topological string. We discuss the derivation of this open holomorphic anomaly equation. We find that open topological string amplitudes have new anomalies that spoil the recursive structure of the equation and introduce dependence on wrong moduli (such as complex structure moduli in the A-model), unless the disk one-point functions vanish. We also show that a general solution to the extended holomorphic anomaly equation for the open topological string on D-branes in a Calabi-Yau manifold, is obtained from the general solution to the holomorphic anomaly equations for the closed topological string on the same manifold, by shifting the closed string moduli by amounts proportional to the 't Hooft coupling.</p>\r\n\r\n<p>An important application of closed topological string theory is the Ooguri, Strominger, and Vafa conjecture, which states that a certain black hole partition function is a product of topological and anti-topological string partition functions. However when the black hole has finite size, the relation becomes complicated. In a specific example, we find a new factorization rule in terms of a pair of functions which we interpret as the \"non-perturbative' completion of the topological string partition functions.</p>",
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                        "given": "Anton N."
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        "author_list": "Yang, Jie"
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        "title": "Unusual Signs in Quantum Field Theory",
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        "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.",
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        "title": "Topics in Theoretical Particle Physics and Cosmology",
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        "keywords": "inflation; landscape; primordial density perturbations; soft-collinear effective theory",
        "abstract": "<p>We first delve into particle phenomenology with a study of soft-collinear effective theory (SCET), an effective theory for Quantum Chromodynamics for when all particles are approximately on their light-cones.  In particular, we study the matching of SCET(I) involving ultrasoft and collinear particles onto SCET(II) involving soft and collinear particles.  We show that the modes in SCET(II) are sufficient to reproduce all of the infrared divergences of SCET(I), a result that was previously in contention.</p>\r\n\r\n<p>Next we move into early universe cosmology and study alternative mechanisms for generating primordial density perturbations.  We study the inhomogeneous reheating mechanism and extend it to describe the scenario where the freeze-out process for a heavy particle is modulated by sub-dominant fields that received fluctuations during inflation.  This scenario results in perturbations that are comparable to those generated by the original inhomogeneous reheating scenarios.  In addition, we study yet another alternative to single field inflation whereby the curvature perturbation is generated by interactions at the end of inflation, as opposed to when inflaton modes exit the horizon.  We clarify the circumstances under which this process can dominate over the standard one and we show that it may result in a spectrum with an observable level of non-Gaussianities.</p>\r\n\r\n<p>We then turn to studies of the landscape paradigm, which hypothesizes that the observed universe is just one among a multitude of possibilities that are realized in separate causal regions.  Such a landscape has been used to explain the smallness of the cosmological constant, at least when only it scans across the landscape.  We study the scenario where both the cosmological constant and the strength of gravity, parameterized by the effective Planck mass, scan across the landscape.  We find that selection effects acting on the cosmological constant are significantly weaker in this scenario and we find the measured value of the Planck mass to be exponentially unlikely under certain plausible assumptions about the landscape. Finally, we study some other models of the landscape as part of a possible explanation for quark-sector flavor parameters in the Standard Model.  In this picture quark Yukawa couplings result from overlap integrals involving quark and Higgs wavefunctions in compactified extra dimensions, and the values we measure result from random selection from a landscape of possibilities.  We find that many of the salient features of the measured flavor parameters are typical of the landscape distribution.</p>",
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        "title": "Constraints on Physics Beyond the Standard Model and its Observable Effects",
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        "abstract": "<p>In this work, we describe three analyses, all of which involve physics beyond the Standard Model.  The first two discussed here are closely related; they use effective operator analyses to constrain the contributions of physics beyond the SM to observable processes.  The third project involves the investigations of a particular extra-dimensions model which addresses the cosmological constant problem.</p>\r\n\r\n<p>The first project which we will discuss uses the scale of neutrino mass to place model-independent constraints on the coefficients of the chirality-changing terms in the muon decay Lagrangian.  We list all of the dimension-six effective operators which contribute to muon decay and Dirac mass for the neutrino.  We then calculate the one-loop contributions that each of these operators makes to neutrino mass.  Taking a generic element of the neutrino mass matrix to be of order ~ 1 eV, we derive limits on the contributions of these operators to the muon Michel parameters which are approximately four orders of magnitude more stringent than the current experimental results, and well below near-future experimental sensitivity.  We also find two chirality-changing operators, which, due to their flavor structure, are unconstrained by neutrino mass yet contribute to muon decay.  However, as these two operators differ from those constrained by neutrino mass only by their flavor indices, we naively expect their contributions to also be small; if their effects instead turn out to be observable, this may be an indication of beyond-the-Standard-Model physics with an interesting flavor structure.</p>\r\n\r\n<p>In the second analysis, we again perform an effective operator analysis, this time applied to Higgs production at a linear collider.  Here we include all dimension-six operators containing fermions which contribute to Higgs production.  We again include operators that contain right-handed Dirac neutrinos.  We obtain limits on these operators from electroweak precision observables, the scale of neutrino mass, and limits on neutrino magnetic moments, and use these limits to constrain the contributions of these operators to the Higgs production cross-section.  Although we find that all operators containing right-handed neutrinos contribute negligibly to Higgs production, we do find three operators containing only SM fields which could have observable contributions at an e\u207ae\u207b linear collider.</p>\r\n\r\n<p>Lastly, we discuss the characteristics of a particular extra-dimensions model originally proposed by Carroll and Guica [54].  This model has two extra dimensions compactified into a sphere, a bulk magnetic field, and a bulk cosmological constant.  In this model, the cosmological constant seen by a four-dimensional observer can be set to zero by fine-tuning the bulk magnetic field against the bulk cosmological constant.  If branes with a tension are added at each of the poles of the two-sphere, solutions with zero four-dimensional cosmological constant are still possible, but the compactified dimensions must acquire a deficit angle which depends on the brane tension.  However, the brane tension does not affect the fine-tuning relationship between the bulk cosmological constant and the bulk magnetic field.  This feature led to the hope that, after this fine-tuning, the model might self-tune, keeping the four-dimensional cosmological constant zero regardless of what happens to the brane tension by adjusting the  deficit angle.  We speculated that this self-tuning property would imply a massless scalar mode in the perturbed Einstein's equations; as there exist very stringent limits on scalar-tensor theories of gravity, a massless scalar mode would make this model incompatible with observation.  We conducted a search for such modes, and found none which satisfied the boundary conditions.  This finding led us to speculate that this model does not, in fact, have a self-tuning property.</p>",
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        "title": "Neutrina Mass Implications for Physics Beyond the Standard Model",
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        "title": "Topics in Heavy Particle Effective Theories",
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        "abstract": "<p>This thesis gives several applications of effective field theory to processes involving heavy particles. The first is a standard application of heavy quark effective theory to exclusive B decays. It involves two sum rules giving constraints on the curvature of the B\u2192D Isgur-Wise function. This thesis calculates order alpha corrections to these constraints, increasing the accuracy of the resultant constraints on the physical form factors.</p>\r\n\r\n<p>The second application involves matching SCETI onto SCET<sub>II</sub> at one loop. Keeping the external fermions off their mass shell does not regulate all IR divergences in both theories. The work described here gives a new prescription to regulate infrared divergences in SCET. Using this regulator, we show that soft and collinear modes in SCET<sub>II</sub> are sufficient to reproduce all the infrared divergences of SCET<sub>I</sub>. We explain the relationship between IR regulators and an additional mode proposed for SCET<sub>II</sub>.</p>\r\n\r\n<p>Next we consider top production at large energies. The production process is characterized by three disparate energy scales: the center-of-mass energy (E), the mass (m), and the decay width (Gamma). At the scale E we match onto massive soft-collinear effective theory (SCET). The SCET current is run from E to m, thereby summing Sudakov logarithms of the form log<sup>n</sup>(m/E), where n=2,1. At the scale m, the top quark mass is integrated out by matching SCET jet functions onto a boosted version of heavy quark effective theory (bHQET). The jet functions in bHQET are then run from m to Gamma, summing powers of single logarithms of the ratio m/Gamma.</p>\r\n\r\n<p>Under certain assumptions factorization formulas can be derived for differential distributions in processes involving highly energetic jets, such as jet energy distributions.  As a final topic, we show how to test these assumptions using semileptonic or radiative decays of heavy mesons, by relating the jet P\u207a distribution derived under these assumptions to other differential distributions in these decays, which are better understood.</p>",
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        "title": "Heavy Pentaquarks in the Diquark Model and the Large Nc Expansion",
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        "keywords": "exotic baryons; heavy quark effective theory; large number of colors",
        "abstract": "<p>Recent experimental evidence for the \u0398\u207a(1540) has given rise to much theoretical interest in exotic baryons.  The \u0398\u207a is a baryon that has strangeness S=+1, meaning that it contains an anti-strange quark.  Thus it cannot be constructed from three quarks, unlike all other known baryons; it needs at least an extra quark-antiquark pair. It is usually modeled as a pentaquark state in the 10 bar representation of flavor SU(3), with flavor content s\u0305uudd.</p>\r\n \r\n<p>This thesis considers possible heavy pentaquarks, in which the antiquark is charmed or bottom rather than strange.   In the context of the diquark model of Jaffe and Wilczek, it is argued that negative-parity pentaquarks of this type may be lighter than their positive-parity counterparts, and hence are likely to be stable against strong decay.  Estimates are made for their masses, and their weak decays are discussed.  Isospin relations are found between the decay rates for different possible decay channels.</p>\r\n\r\n<p>Negative-parity heavy pentaquarks are also considered in a less model-dependent way, in the context of a 1/Nc expansion, where Nc is the number of colors. Heavy quark effective theory is also employed.  Mass relations are found between the mass splittings of heavy pentaquarks and those of nonexotic baryons, and SU(3)-breaking corrections to these relations are computed.   The results could be helpful in interpreting experimental data if heavy pentaquarks are observed.</p>",
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        "title": "Superstring Holography and Integrability in AdS\u2085 x S\u2075",
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        "keywords": "AdS/CFT; gauge theory; holography; integrability; string theory; supersymmetry",
        "abstract": "The AdS/CFT correspondence provides a rich testing ground for many important topics in theoretical physics.  The earliest and most striking example of the correspondence is the conjectured duality between the energy spectrum of type IIB superstring theory on AdS\u2085 x S\u2075 and the operator anomalous dimensions of N=4 supersymmetric Yang-Mills theory in four dimensions.  While there is a substantial amount of evidence in support of this conjecture, direct tests have been elusive.  The difficulty of quantizing superstring theory in a curved Ramond-Ramond background is compounded by the problem of computing anomalous dimensions for non-BPS operators in the strongly coupled regime of the gauge theory.  The former problem can be circumvented to some extent by taking a Penrose limit of AdS\u2085 x S\u2075, reducing the background to that of a pp-wave (where the string theory is soluble).  A corresponding limit of the gauge theory was discovered by Berenstein, Maldacena and Nastase, who obtained successful agreement between a class of operator dimensions in this limit and corresponding string energies in the Penrose limit.  In this dissertation we present a body of work based largely on the introduction of worldsheet interaction corrections to the free pp-wave string theory by lifting the Penrose limit of AdS\u2085 x S\u2075. This provides a new class of rigorous tests of AdS/CFT that probe a truly quantum realm of the string theory.  By studying the correspondence in greater detail, we stand to learn not only about how the duality is realized on a more microscopic level, but how Yang-Mills theories behave at strong coupling.  The methods presented here will hopefully contribute to the realization of these important goals.",
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        "title": "Probing Physics and the Standard Model and Beyond with Electroweak Baryogenesis and Effective Theories of the Strong Interactions",
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        "title": "Testing Gauge/Gravity Duality: The Eleven-Dimensional PP-Wave",
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        "abstract": "The gauge/gravity duality in the interaction between M theory objects has taught us a lot about quantum gravity. The eleven-dimensional PP-wave background provides a new arena for exploring this duality beyond flat and almost flat, i.e., weakly curved, backgrounds. In this thesis we discuss the gauge theories that describe the dynamics of interacting M theory objects, the supergravity calculations that capture these dynamics, the comparison of the two sides, and various objects (such as gravitons and membranes) in the eleven-dimensional PP-wave background. We only consider the one-loop gauge theory and linearized supergravity approximations.\r\n",
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        "title": "D-Branes in Anti-de-Sitter Space",
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        "abstract": "<p>We investigate the role of Dp-branes, which are p+1 dimensional membranes where open strings end, in two different types of anti-de-Sitter backgrounds: AdS\u2083 x S\u2083 x M\u2074 and AdS\u2085 x S\u2075, where M\u2074 is a compact four-dimensional manifold such as the four-torus T4 or the K3 surface.</p>\r\n\r\n<p>In the spirit of the AdS/CFT correspondence, D-brane physics on an anti-de-Sitter space should be captured by a dual conformal field theory defined on the boundary of AdS. Recently, Karch and Randall and DeWolfe, Freedman and Ooguri proposed in that the presence of a single D5-brane in AdS\u2085 x S\u2075 is dual to a defect conformal field theory in which the usual N=4 bulk SYM theory is coupled to a 2+1 dimensional conformal defect field theory. Extending their result, we take the Penrose limit of a single D5-brane embedded in AdS\u2085 x S\u2075 and propose a correspondence between open string states ending on the D5-brane and gauge-invariant operators living on the dual defect conformal field theory. Furthermore, we check this proposal by verifying that the anomalous dimension of the gauge theory operators matches the light-cone Hamiltonian of open strings ending on the D5-brane.</p>\r\n\r\n<p>Maldacena has proposed that type IIB string theory compactified on AdS\u2083 x S\u2083 x M\u2074 is dual to a 1+1 conformal field theory defined on the conformal boundary of AdS\u2083. In this thesis, we restrict our attention to the study of a D-brane embedded in AdS\u2083 x S\u2083 x M\u2074 backgrounds and leave the explicit construction of the AdS/CFT correspondence of this setup for future work by others. First, we investigate the spectrum of open strings on AdS\u2082 branes in AdS\u2083 in an NS-NS background using the SL(2,R) WZW model. Then, we construct boundary states for the AdS\u2082 branes in the Euclideanized AdS\u2083 background and compute the one-loop free energy of open strings stretched between the branes.</p>",
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        "copyright_statement": "I hereby certify that, if appropriate, I have obtained a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below.  I certify that the version I submitted is the same as that approved by my advisory committee.\n\nI hereby grant to California Institute of Technology or its agents the non-exclusive\nlicense to archive and make accessible, under the conditions specified below,\nmy thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known.  I retain all other ownership rights to the copyright of the thesis, dissertation or project report.  I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.",
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        "title": "String/Gauge Duality and Penrose Limit",
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        "keywords": "AdS/CFT; BMN correspondence; holography; Penrose limit; plane wave",
        "abstract": "<p>Berenstein, Maldacena, and Nastase have recently discovered a particular limit of AdS/CFT correspondence where string theory in a plane wave background is dual to a sector of $mathcal N =4 SYM in a double scaling limit. It is based on the observation that a plane wave background can be obtained by taking Penrose limit of Anti de Sitter background. The corresponding gauge theory limit is identified via AdS/CFT dictionary. This proposal is especially exciting because string worldsheet theory in a plane wave background is exactly solvable, thereby opening a possibility that one can go beyond supergravity approximation. In the absence of string interactions, the duality made a remarkable prediction for anomalous dimension of gauge theory operators from exact free string spectrum, which was soon verified.</p>\r\n\r\n<p>In this thesis, we attempt to extend the duality to the interacting theory level. We propose that the correct holographic recipe is to identify the full string field theory Hamiltonian with the dilatation operator of gauge theory. In practice, we must find an identification map between string theory and gauge theory Hilbert spaces and evaluate matrix elements of the two operators accordingly. The requirement that the inner product should be preserved  determines a unique identification map assuming that it is hermitian. We show that transition amplitudes of string field theory agree with matrix elements of dilatation operator under this preferred identification for states with two different impurities. We later extend it to states with arbitrary impurities. In doing so, we find a diagrammatic correspondence between string field theory and gauge theory Feynman diagrams thereby providing direct handles on the duality. Our proposal is universal in the sense that it is applicable to any interaction type such as the open-closed interaction, and to all orders in g\u2082 and \u03bb'. Hopefully, this thesis will be a key step towards proving the novel duality and a beginning of an exciting journey to the stringy regime of string/gauge duality.</p>",
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        "title": "SU(3) Chiral Symmetry in Non-Relativistic Field Theory",
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        "abstract": "Applications imposing SU(3) chiral symmetry on non-relativistic field theories are considered. The first example is a calculation of the self-energy shifts of the spin-3/2 decuplet baryons in nuclear matter, from the chiral effective Lagrangian coupling octet and decuplet baryon fields. Special attention is paid to the self-energy of the Delta baryon near the saturation density of nuclear matter. We find contributions to the mass shifts from contact terms in the effective Lagrangian with coefficients of unknown value. As a second application, we formulate an effective field theory with manifest SU(2) chiral symmetry for the interactions of K and eta mesons with pions at low energy. SU(3) chiral symmetry is imposed on the effective field theory by a matching calculation onto three-flavor chiral perturbation theory. The effective Lagrangian for the pi-K and pi-eta sectors is worked out to order Q^4; the effective Lagrangian for the K-K sector is worked out to order Q^2 with contact interactions to order Q^4. As an application of the method, we calculate the K-K s-wave scattering phase shift at leading order and compare with chiral perturbation theory. We conclude with a discussion of the limitations of the approach and propose new directions for work where the matching calculation may be useful",
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        "copyright_statement": "I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below.  I certify that the version I submitted is the same as that approved by my advisory committee.\n\nI hereby grant to California Institute of Technology or its agents the non-exclusive\nlicense to archive and make accessible, under the conditions specified below,\nmy thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known.  I retain all other ownership rights to the copyright of the thesis, dissertation or project report.  I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.",
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        "title": "Applications of Chiral Perturbation Theory in Reactions with Heavy Particles",
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        "abstract": "Effective field theory techniques are used to describe the interaction of heavy hadrons\r\nin a model independent way. Predictability is obtained by exploiting the symmetries\r\nof QCD. Heavy hadron chiral perturbation theory is reviewed and used to describe\r\nD* decays. The phenomenologically important D*D\u03c0 coupling is extracted from data\r\nworking to first order in the chiral and heavy quark symmetry breaking parameters.\r\nA method is described for determining |V<sub>ub</sub>| from exclusive semileptonic B and D\r\ndecays with 10% uncertainty. An effective field theory for two-nucleon systems is\r\nthen discussed. The large S-wave scattering lengths necessitate expanding around a\r\nnon-trivial fixed point. A detailed discussion of the interplay between renormalization\r\nand the power of counting is given. In power counting pion interactions with nucleons\r\nit is useful to consider three classes of pion: potential, radiation, and soft. A power\r\ncounting for massive radiation is developed. Finally, it is shown that the leading terms\r\nin the effective theory for nucleon-nucleon interactions are invariant under Wigner's\r\nSU(4) spin-isospin symmetry in the infinite scattering length limit.",
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        "abstract": "Color-singlet production of quarkonia has failed to correctly predict the cross sections\r\nof \u03c8's produced at the Tevatron. Gluon fragmentation has been identified the dominant\r\nsource of high energy prompt quarkonia at hadron colliders. Fragmentation\r\napproximations break down, however, when a quarkonium's transverse momentum\r\nbecomes comparable to its mass. We review the NRQCD formalism, which is an\r\neffective field that improves upon the color-singlet calculations. As an example of\r\ncolor-singlet calculation, we calculate in closed form the complete O(\u03b1<sup>2</sup><sub>s</sub>) color-singlet\r\ndifferential cross section for e<sup>+</sup>e<sup>-</sup> \u2192 \u03b3<sup>*</sup> \u2192 \u03c8q + X scattering. The cross section\r\nreduces at high energies to a heavy quark fragmentation form. We find that the energy\r\nscale at which the approximate fragmentation result becomes reliable exceeds the \u03c8q\r\nmass by more than an order of magnitude. We also discuss the color-singlet model's\r\npredictions for direct J/\u03c8 angular and energy distributions at CLEO. For production\r\nat a pp collider, we identify a large class of color-octet diagrams that mediate quarkonia\r\nproduction at all energies and reduce to the dominant set of gluon fragmentation\r\ngraphs in the high p\u22a5 limit. They contribute to quarkonia differential cross sections at\r\nthe same order as color-singlet diagrams and bring theoretical predictions for \u03b3 and \u03c8\r\nproduction at the Tevatron into agreement with experimental measurements. Using\r\nrecent CDF data, we extract numerical values for bottomonia and charmonia color-octet\r\nmatrix elements which are consistent with NRQCD scaling rules. We calculated the polarization of \u03c8'\r\ndue to pp \u2192 QQ[<sup>2S+1</sup>L<sub>J</sub><sup>(8)</sup>]X \u2192 \u03c8<sup>(\u03bb)</sup>X color-octet quarkonia\r\nproduction at order \u03b1<sup>3</sup><sub>s</sub> which could be used as a test of NRQCD. We find that at\r\nlow transverse momenta the \u03c8' is unpolarized due to the contributions proportional\r\nto the L = S = 0 and L = s = 1 color-octet matrix elements. As p\u22a5 increases, \r\nthe \u03c8' mesons become 100% polarized, as predicted by fragmentation calculations.\r\nPolarization due to lowest order color-singlet production is also considered, which\r\nqualitatively has a similar shape to the color-octet production. ",
        "date": "1998",
        "date_type": "degree",
        "id_number": "CaltechTHESIS:08072017-152935193",
        "refereed": "FALSE",
        "official_url": "https://resolver.caltech.edu/CaltechTHESIS:08072017-152935193",
        "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.",
        "collection": "CaltechTHESIS",
        "reviewer": "Tony Diaz",
        "local_group": {
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        "deposited_by": "Benjamin Perez",
        "deposited_on": "2017-08-07 23:25:16",
        "doi": "10.7907/ezh4-nr37",
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        "institution": "California Institute of Technology",
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        "thesis_degree": "PHD",
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        "thesis_defense_date": "1997-07-30",
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        "pub_year": "1998",
        "author_list": "Leibovich, Adam Keith"
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        "title": "Aspects of Heavy Quark Physics",
        "ispublished": "unpub",
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        "keywords": "Physics",
        "abstract": "<p>We discuss the use of two QCD based effective field theories in determining parameters\r\nof the standard model. Heavy Quark Effective theory provides a framework for\r\nstudying the weak decays of the B meson. We calculate the B \u2192 X<sub>c</sub>lv decay rate\r\nto second nonvanishing order in the HQET expansion and compare the theoretical\r\nprediction to experimental data. This allows us to determine the b and c pole quark\r\nmasses and the weak mixing angle V<sub>cb</sub>.</p>\r\n\r\n<p>Nonrelativistic QCD is an effective field theory in which bound states of two heavy\r\nquarks can be analyzed conveniently. We use this approach to compute the leading\r\nrelativistic corrections to the decay of S-wave quarkonia. These corrections can be\r\nexpressed in terms of the leading order result and the quark pole mass. Including\r\ncolor octet contributions and the first relativistic corrections, we extract the value\r\nof \u03b1<sub>s</sub> from low energy data. We also show that the color octet contributions to the\r\ndecay rates are not negligible.</p>",
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        "reviewer": "Tony Diaz",
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        "pub_year": "1998",
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        "abstract": "The study of baryogenesis introduces a new datum in the study of physics beyond\r\nthe Standard Model. Some physics relevant to baryogenesis is reviewed. Electroweak\r\nbaryogenesis due to scalar particles (such as squarks) possessing baryon number is\r\nestimated and found to be considerable within a broad and plausible range of parameter\r\nvalues. Transport properties of squarks in the electroweak plasma are found to\r\nsupport this conclusion. If baryonic scalars are discovered in physics beyond the\r\nStandard Model, these results will be useful in determining whether they are consistent\r\nwith cosmological observations.",
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        "abstract": "Various realizations of gauge theories in string theory allow an identification of their\r\nspaces of vacua with gravitational instantons. Also, they provide a correspondence of\r\nvacua of gauge theories with nonabelian monopole configurations and solutions of a \r\nsystem of integrable equations called Nahm equations. These identifications make it\r\npossible to apply powerful techniques of differential and algebraic geometry to solve\r\nthe gauge theories in question. In other words, it becomes possible to find the exact\r\nmetrics on their moduli spaces of vacua with all quantum corrections included. As\r\nanother outcome we obtain for the first time the description of a series of all D<sub>k</sub>-type\r\ngravitational instantons.",
        "date": "1998",
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        "suggestions": "Author name: Sergey A. Cherkis per commencement booklet.",
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        "abstract": "<p>We probe string dualities by using the orientifold and F-theory, and by investigating\r\nworld volume actions of super D-branes and super M-branes.</p>\r\n\r\n<p>We first study orientifolds in various dimensions. We construct orientifolds dual\r\nto M-theory compactified on the Klein bottle and on the M\u00f6bius band, respectively.\r\nSix-dimensional orientifolds with N=1 supersymmetry are constructed. They have\r\nmultiple tensor multiplets, which cannot be obtained by the conventional Calabi-Yau\r\ncompactifications. We find F-theory duals for some of these models, thereby making\r\nmanifest the phase transitions involving the tensionless strings these models can have.</p>\r\n\r\n<p>We construct orientifold and F-theory duals of the heterotic string models constructed\r\nby Chaudhuri, Hockney and Lykken (CHL) and study N=2 supersymmetric\r\nF-theory vacua in six dimensions.</p>\r\n\r\n<p>Next, we construct the supersymmetric world volume action of the M-theory 5-brane\r\nin a flat eleven-dimensional background. Finally, dual D-brane actions are\r\nobtained by carrying out a duality transformation of the world volume gauge field of\r\nthe D-brane and their properties are studied.</p>",
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        "abstract": "Heavy Quark Effective Theory (HQET) is reviewed and applied to extracting the \r\nfundamental parameters of the Standard Model from experimental data.  The main\r\nfocus is on precision measurements of the Cabibbo-Kobayashi-Maskawa matrix\r\nelement |V<sub>cb</sub>|, and the charm and bottom quark masses m<sub>c</sub> and m<sub>b</sub>.  We discuss the\r\nmodel-independent extraction of |V<sub>cb</sub>| from the B \u2192 D*lv decay rate and show that\r\nthe corresponding theoretical uncertainties, although small, cannot be further\r\nreduced.  The theory of the inclusive B \u2192 X<sub>c</sub>lv decay is described and then used to\r\nextract |V<sub>cb</sub>|, m<sub>c</sub>, and m<sub>b</sub> from the available data.  We also determine the HQET \r\nparameters \u039b and \u03bb<sub>1</sub> which appear in the expressions for the heavy meson decay rates\r\nand the relations between the meson and quark masses.  At present, the accuracy of \r\nthe inclusive measurement of |V<sub>cb</sub>| is comparable to that from the exclusive B \u2192 D*lv\r\ndecay, but could be improved if the bottom quark mass m<sub>b</sub> were known better.  We\r\nshow how this could be accomplished by measuring the photon spectrum in the rare \r\ninclusive B \u2192 X<sub>s</sub>\u03b3 decay.",
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        "title": "Non-Abelian discrete gauge theory",
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        "abstract": "Gauge theory with a finite gauge group (or with a gauge group that has disconnected components) is systematically studied, with emphasis on the case of a non-Abelian gauge group. An operator formalism is developed, and an order parameter is constructed that can distinguish the various phases of a gauge theory. The non-Abelian Aharonov-Bohm interactions and holonomy interactions among cosmic string loops, vortices, and charged particles are analyzed; the detection of Cheshire charge and the transfer of charge between particles and string loops (or vortex pairs) are described. Non-Abelian gauge theory on a surface with non-trivial topology is also discussed. Interactions of vortices with \"handles\" on the surface are discussed in detail. The electric charge of the mouth of a \"wormhole\" and the magnetic flux \"linked\" by the wormhole are shown to be non-commuting observables. This observation is used to analyze the color electric field that results when a colored object traverses a wormhole.\r\n",
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        "title": "On quantum fluctuations and black holes",
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        "reviewer": "Kathy Johnson",
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        "title": "Quantum effective field theories in heavy quark physics and phase transitions in cosmology",
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        "abstract": "<p>This thesis is concerned with aspects of quantum effective field theories, effective\r\nactions, and their applications. New spin-flavor symmetries of the strong interactions,\r\nwhich arise in the limit of very large quark masses, can be incorporated into a heavy\r\nquark effective field theory (HQEFT). A general method for deriving the effective\r\nLagrangian of this theory to any order in 1/m_Q (where m_Q is the heavy quark mass)\r\nis developed; it is used to calculate terms up to order 1/m^3_Q. The renormalization of\r\nterms in the Lagrangian to order 1/m^2_Q is performed. Such operators break these new\r\nsymmetries and consequently are important corrections to the leading-order predictions.\r\nHQEFT can be combined with chiral perturbation theory into a heavy meson\r\nchiral perturbation theory (HMChPT) which describes the low-momentum interactions\r\nof hadrons containing a heavy quark with pseudo-Goldstone bosons. HMChPT\r\nis used to investigate the semi-leptonic four-body decay of B and D mesons into final\r\nstates with at least one Goldstone boson. Such processes may be utilized to test\r\nthe above heavy quark symmetries. The remainder of this dissertation deals with the\r\nevaluation of effective actions and their implications. A method to efficiently compute\r\nthe one-loop effective action at zero and finite temperatures is elucidated. In a first\r\norder cosmological phase transition, the decay rate and the temperature at which it\r\noccurs depends on the free energy of a critical bubble configuration. Since this free\r\nenergy is related to the effective action but is usually approximated with an effective\r\npotential, the calculational method developed above is used to study the validity of\r\nof this approximation. The corrections are found to be important for quantitative\r\nwork.</p>\r\n",
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        "abstract": "Two topics in two-dimensional quantum field theory are presented. The first\r\nis a classification of 2- and 3-field rational conformal field theories. Using the fact\r\nthat the fusion algebra of a RCFT is specified in terms of integers that are related\r\nto modular transformation properties, we classify 2- and 3-field chiral RCFT's. We\r\nshow that the only possibilities for the non-trivial fusion rule in the 2-field case are\r\n\u03c6 x \u03c6 = 1 or \u03c6 x \u03c6 = 1 + \u03c6. Similar results are obtained for the 3-field case. A partial\r\nclassification of possible conformal dimensions and central charges for these theories\r\nis also obtained. The second topic is in two-dimensional quantum gravity. Explicit\r\ncomputation of the non-perturbative correlation functions of the (1, q) models of\r\nKdV-gravity is presented. This computation includes contributions from high genus\r\nas well as correlation functions of descendant fields. A ghost number conservation\r\nlaw for these models is derived from purely algebraic considerations. A hint of further\r\nselection rules is found.\r\n",
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        "title": "Strings, two-dimensional gravity, and matrix models",
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        "abstract": "Two-dimensional models of quantum gravity have been solved using matrix model techniques. Furthermore, these solutions have turned out to be encoded in integrable nonlinear PDEs belonging to the KdV hierarchy. This thesis presents a new KdV recursion relation, distinct from one found previously by Dijkgraaf and Witten, for a certain class of theories known as the two-matrix models. The two recursion relations together are used to relate arbitrary correlation functions containing a puncture operator P (at any genus) to the three basic correlators <PP>, <PQ>, and <QQ> by unique algebraic expressions. (Q is the dilaton operator.) The derivation requires assuming a certain scaling law, whose justification is discussed.\r\n\r\nOther KdV recursion relations, given by Virasoro or W-algebra constraints, are possible for multi-matrix models when an infinite number of couplings are added. These constraints have been presented for A_n-type models by Fukuma et al. and Dijkgraaf et ai. We derive analogous Virasoro constraints for the multi-matrix models associated with the other simply-laced Lie algebras D_(2n+1), E_6, E_7, and E_8. As a check, it is verified that the proposed constraints imply operator scaling dimensions identical to those found by Kostov. It is then demonstrated that these Virasoro constraints (or, more generally, W -algebra constraints) can be used to derive expressions for correlation functions containing a non-primary operator in terms of correlation functions that only contain primary operators.\r\n\r\nThe second subject of this thesis concerns the underlying symmetries of string theory as probed by fixed-angle scattering at very high energy. The asymptotic behavior depends sensitively on the choice of the string vacuum. Therefore, we examine the effect of modifying the vacuum on the behavior of high-energy scattering amplitudes. In particular, high-energy fixed-angle elastic scattering of open-string tachyons is studied explicitly. Tadpole corrections to the tree-level formulas are included. The main conclusion of the analysis is that symmetry relations among amplitudes at high energy seem to be unaffected by modifications of the vacuum, even though the amplitudes themselves do change.\r\n",
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        "abstract": "<p>We discuss some problems that arise when one tries to quantize a theory that possesses gauge degrees of freedom. First, we identify the Gribov problem that is encountered when the Faddeev-Popov procedure of fixing the gauge is employed to define a perturbation expansion. We propose a modification of the procedure that takes this problem into account. We then apply this method to two-dimensional gauge theories where the exact answer is known. Second, we try to build chiral theories that are consistent in the presence of anomalies, without making use of additional degrees of freedom. We are able to solve the model exactly in two dimensions, arriving at a gauge-invariant theory. We discuss the four-dimensional case and also the application of this method to string theory. In the latter, we obtain a model that lives in arbitrary dimensions. However, we do not compute the spectrum of the model. Third, we investigate the possibility of compactifying the unwanted dimensions of superstrings on a group manifold. We give a complete list of conformally invariant models. We also discuss one-loop modular invariance. We consider both type-II and heterotic superstring theories. Fourth, we discuss quantization of string field theory. We start by presenting the lagrangian approach, to demonstrate the non-uniqueness of the measure in the path-integral. It is fixed by demanding unitarity, which manifests itself in the hamiltonian formulation, studied next.</p>",
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        "title": "Anomalous Quantum Mumbers and Topological Properties of Field Theories",
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        "abstract": "<p>We examine the connection between anomalous quantum numbers, symmetry breaking patterns and topological properties of some field theories. The main results are the following: In three dimensions the vacuum in the presence of abelian magnetic field configurations behaves like a superconductor. Its quantum numbers are exactly calculable and are connected with the Atiyah-Patodi-Singer index theorem. Boundary conditions, however, play a nontrivial role in this case. Local conditions were found to be physically preferable than the usual global ones. Due to topological reasons, only theories for which the gauge invariant photon mass in three dimensions obeys a quantization condition can support states of nonzero magnetic flux. For similar reasons, this mass induces anomalous angular momentum quantum numbers to the states of the theory. Parity invariance and global flavor symmetry were shown to be incompatible in such theories. In the presence of massless flavored fermions, parity will always break for an odd number of fermion flavors, while for even fermion flavors it may not break but only at the expense of maximally breaking the flavor symmetry. Finally, a connection between these theories and the quantum Hall effectwas indicated.</p>\r\n",
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                    "id": "Bijnens-Johan-Lambert",
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        "title": "Chiral Perturbation Theory and the Weak Interaction",
        "ispublished": "unpub",
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        "keywords": "(Physics)",
        "abstract": "<p>We study the interface between the standard six-quark model and the observed low-energy weak phenomena. The main processes discussed are weak decays of kaons and hyperons. We study first the low-energy effective weak Hamiltonian at the quark level. This is derived using the renormalization group in leading logarithmic approximation.</p>\r\n\r\n<p>Then some properties of this effective weak Hamiltonian that can be derived using chiral perturbation theory are studied. A review of chiral perturbation theory is included.</p>\r\n\r\n<p>This formalism is used to study the relation between K&#773;<sup>0</sup>K<sup>0</sup> mixing and a \u0394I = 3/2 decay. We find that the logarithmic corrections to this relation are large, making it unreliable. The same formalism is used to discuss a relation between K\u03c0\u03c0, K\u03c0 and K-vacuum matrix elements used in most attempts to compute the K\u03c0\u03c0 matrix element relevant for the \u0394I = 1/2 rule. The domain of validity of this relation is determined.</p>\r\n\r\n<p>A review of inclusion of baryons in chiral perturbation theory is given and \r\none-loop corrections to the Gell-Mann-Okubo relation; semileptonic hyperon decays and nonleptonic S and P wave decays are calculated. All corrections are small except the nonleptonic P wave decays and one S wave decay. The corrections to the Lee-Sugawara relation are large as a consequence of the latter.</p>\r\n\r\n<p>Some predictions beyond chiral perturbation theory can be made within the soliton model of baryons. F/D ratios are predicted for hyperon magnetic moments, semileptonic decays and nonleptonic S wave decays in this model.</p>",
        "date": "1985",
        "date_type": "degree",
        "id_number": "CaltechTHESIS:08042017-160047213",
        "refereed": "FALSE",
        "official_url": "https://resolver.caltech.edu/CaltechTHESIS:08042017-160047213",
        "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.",
        "collection": "CaltechTHESIS",
        "reviewer": "Kathy Johnson",
        "local_group": {
            "items": [
                "Caltech Theory"
            ]
        },
        "deposited_by": "Benjamin Perez",
        "deposited_on": "2017-08-07 21:35:33",
        "doi": "10.7907/64qa-xw17",
        "divisions": {
            "items": [
                "div_pma"
            ]
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        "institution": "California Institute of Technology",
        "thesis_type": "phd",
        "thesis_advisor": {
            "items": [
                {
                    "email": "wise@theory.caltech.edu",
                    "id": "Wise-M-B",
                    "name": {
                        "family": "Wise",
                        "given": "Mark B."
                    },
                    "orcid": "0000-0002-9125-801X",
                    "role": "advisor"
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        "thesis_committee": {
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                    "email": "wise@theory.caltech.edu",
                    "id": "Wise-M-B",
                    "name": {
                        "family": "Wise",
                        "given": "Mark B."
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                    "orcid": "0000-0002-9125-801X",
                    "role": "chair"
                },
                {
                    "email": "preskill@caltech.edu",
                    "id": "Preskill-J",
                    "name": {
                        "family": "Preskill",
                        "given": "John P."
                    },
                    "orcid": "0000-0002-2421-4762",
                    "role": "member"
                },
                {
                    "email": "hitlin@caltech.edu",
                    "id": "Hitlin-D-G",
                    "name": {
                        "family": "Hitlin",
                        "given": "David G."
                    },
                    "orcid": "0000-0003-4028-6982",
                    "role": "member"
                },
                {
                    "id": "Cowan-E-W",
                    "name": {
                        "family": "Cowan",
                        "given": "Eugene W."
                    },
                    "role": "member"
                }
            ]
        },
        "thesis_degree": "PHD",
        "thesis_degree_grantor": "California Institute of Technology",
        "thesis_defense_date": "1985-05-20",
        "review_status": "approved",
        "option_major": {
            "items": [
                "physics"
            ]
        },
        "copyright_statement": "Author's Rights Authorization: I hereby certify that, if appropriate, I have obtained a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted here is the same as that approved by my advisory committee.\n\nI hereby grant to California Institute of Technology or its agents the non-exclusive license to archive and make accessible, under the conditions specified under \"Thesis Availability\" in this submission, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation, or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.",
        "pub_year": "1985",
        "author_list": "Bijnens, Johan Lambert"
    }
]