Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 27 for “"Yang-Mills theory"”.
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Unitarizing high-energy scattering amplitudes in Yang-Mills theory
Thesis. 1978. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics.
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Three-loop renormalization of Yang-Mills theory in background field gauge
… of non-Abelian gauge fields is studied. Yang-Mills theory is renormalized up to two-loops using the background field method retaining arbitrary value of the gauge parameter. The result confirms the expectations for calculations performed in background field gauge. Namely, the counter-term …
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High energy scattering amplitudes of Yang-Mills theory in the eighth order
Thesis. 1977. Sc.D.--Massachusetts Institute of Technology. Dept. of Physics.
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Random surface interpretations of two-dimensional Liouville quantum gravity and Yang-Mills theory
The theory of random surfaces (or "sums over surfaces") has its historical roots in quantum gravity, string theory, statistical physics, and combinatorics. This thesis explores random surfaces in two settings: one related to Liouville quantum gravity, and one related to Euclidean Yang-Mills theory …
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Nonperturbative study of SU(N) Yang–Mills theory with gauge invariant condensates of mass dimension two
… and other phenomena occurring in SU(N) Yang–Mills theories. This condensate has turned out to be essential for a nonperturbative study of the vacuum of these theories, and it has already been studied from several points of view in the literature. This condensate gives the gluon an …
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Aspects of SU(2|4) symmetric field theories and the Lin-Maldacena geometries
… Lagrangian definitions of type IIA Little String Theory on S⁵ as double-scaling limits of the Plane-Wave Matrix Model, maximally supersymmetric Yang-Mills theory on R x S² and N=4 supersymmetric Yang-Mills theory on R×S³/Zk. We find the supergravity solutions dual to generic vacua of the …
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Non-Relativistic Holography from Horava Gravity
… space and a four dimensional supersymmetric Yang-Mills theory. This case is extremely useful as the strong coupling regime of the Yang-Mills theory is solved by weakly coupled gravity. Another interesting class of strongly coupled field theories are those of a non-relativistic nature that …
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The effects of instantons in a finite temperature quantum field theory
… and instanton methods for investigating a SU(2) Yang-Mills theory at finite temperature. We first begin with a review of tunneling in a one-dimensional periodic potential. Here we introduce the methods of Euclidean path integrals and the idea of an instanton. Next we proceed to review Yang-Mills' …
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Sigma Models with Repulsive Potentials
… arising in the study of harmonic maps and Yang Mills theory, we study new techniques for producing optimal monotonicity relations for geometric partial differential equations. We apply these results to sharpen epsilon regularity results. As a sample application, we analyze energy minimizing …
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Bubble nucleation in finite-density gauge theory using the AdS/CFT correspondence
We will be using the N = 4 Super Yang-Mills theory as a "toy model" of QCD to model the spontaneously broken symmetry (Higgsing) SU (Nc) → SU (Nc − n) × U (n). We model the the instability of the phase with unbroken color symmetry (”normal phase”) and the mechanism with which we would have the …
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Confinement and Chiral Phase Transitions in SU(2) Gauge Theory via Topological Objects
… Quantum Chromodynamics, that is, the underlying theory of the strong interaction between subatomic particles. A theoretical understanding of these transitions and their interrelations is of fundamental importance. While it is widely perceived that their dynamics arises from nontrivial topological …
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Some analytic aspects of Vafa-Witten twisted N̳ = 4 supersymmetric Yang-Millseory theory
… arise from a twist of N = 4 supersymmetric Yang-Mills theory. Physicists believe that this theory has a well-defined partition function, which depends on a single complex parameter. On one hand, the S-duality conjecture predicts that this partition function is a modular form. On the other …
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Holographic view of non-relativistic physics
… light cone quantization (DLCQ) of V= 4 super Yang-Mills theory is an example of such a system with z = 2 scaling symmetry. A more realistic example of a system with the same set of symmetries is a system of cold fermions at unitarity. These non-relativistic systems respect a symmetry algebra …
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Looking Beyond the Standard Model from the Lattice
… mechanism. In particular we use lattice gauge theory techniques, to understand the inherent symmetry breaking patterns of three specific BSM (beyond the standard model) theories. The first model (in chapter 3) describes the spontaneous symmetry breaking pattern in a two dimensional, eight …
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Black hole singularities in the framework of gauge/string duality
… inside the horizon. For the case the bulk theory lives in 5 dimensions the dual theory is an SU(N) Yang-Mills theory on a sphere, a bounded many-body system. The signatures of the singularity we found are only present as N -+ oo. To elucidate the emergence of the singularity in the gauge …
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5D Supersymmetric Orbifolds: Supergravity/Phenomenological Aspects
… of power-law unification, where 5D rigid super Yang-Mills theory is introduced in its superfield formulation. We develop a superfield description of 5D orbifold N = 2 supergravity coupled to vector and hyper multiplets. The basic building blocks are N = 1 supermultiplets obtained as reductions …
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Vortices, Painlevé integrability and projective geometry
… half of the thesis concerns Abelian vortices and Yang-Mills theory. It is proved that the 5 types of vortices recently proposed by Manton are actually symmetry reductions of (anti-)self-dual Yang-Mills equations with suitable gauge groups and symmetry groups acting as isometries in a 4-manifold. …
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Strongly coupled plasmas and the QCD critical point
… the hot plasma of strongly coupled A = 4 super Yang-Mills theory moving with velocity v. We find that in the v --+ 1 limit, L, oc (1 - v2 )1/ 4 /T, which provides evidence for the robustness of the analogous behavior of the screening length defined by the static quark-antiquark pair. Finally, we …
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Aspects of finite temperature field theories in Ads/CFT
… by a weakly coupled SU(N) (or U(N)) gauge theory with adjoint matter on a class of compact manifolds (like S3). In the large N limit, finite temperature correlation functions of gauge invariant single-trace operators in the low temperature phase are related to those at zero temperature by …
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Mathematical Aspects of Field Theory: Nahm's Equations and Jacobi Forms
… we explore some mathematical aspects of field theory. In the first project, we address Nahm's equations, which is an integrable system with a Lax pair. We consider boundary conditions on Nahm's equations that correspond to the Dirac multimonopole in Yang-Mills theory. The algebro-geometric …
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