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 110 for “"Gauge theory"”.
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Computing methods in Hamiltonian lattice gauge theory
… and bookkeeping in the Hamiltonian perturbation theory.
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Monopoles and U(1) lattice gauge theory
… I describe calculations done in $U(1)$ lattice gauge theory. After reviewing general concepts for doing calculations using quantum field theory on a space-time lattice, I discuss the presence of topological objects, which correspond to local minima of the action. These topological objects are …
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Why Gauge? Conceptual Aspects of Gauge Theory
This thesis is about conceptual aspects of gauge theories. Gauge theories lie at the heart of modern physics: in particular, they constitute the standard model of particle physics. At its simplest, the idea of gauge is that nature is best described using a descriptively redundant language; the …
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Numerical relativity from a gauge theory perspective
… discrete field equations on the mesh. For each gauge degree of freedom there is a corresponding discrete constraint; the remaining discrete evolution equations exactly preserve these constraints under time-evolution. I validate the method using simulations of several analytically solvable …
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Noncommutative gauge theory and the kappa-deformed spacetime
Feldtheorien auf nichtkommutativen (NC) Raeumen werden untersucht als realistische Erweiterungen des Standardmodells der Elementarteilchenphysik. Vor allem werden zwei Modelle mit nicht vertauschenden operatorwertigen Koordinaten betrachtet: Kanonisch NC Raeume und der kappa-deformierte Raum. Diese …
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Discretization of differential geometry for computational gauge theory
This Dissertation was approved for publication on 2018-04-13 at 12:05.
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D-branes, gauge theory and string field theory
… They include three directions in the string theory. In the first direction, we use the brane setup to find mirror pairs of SO(n) and Sp(k) gauge groups for N = 4 three-dimensional gauge field theories. To reach this result, we analyze carefully the s-configuration and predict a nontrivial …
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Beyond Color: Lattice Gauge Theory for Strongly-Coupled Physics
… prototypical strongly interacting Quantum Field Theory (QFT). It is the interaction that yields the strong nuclear force that binds protons and neutrons together. The underlying mathematical picture of QCD is known exactly: it is an 𝑆𝑈(3) gauge theory coupled to six flavors of fermions (the …
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Topological Objects and Confinement in Non-Abelian Lattice Gauge Theory
… on sample configurations of SU(2) and SU(3) gauge fields. We isolate topological objects, specifically Abelian monopoles and center vortices, in these configurations. We then measure the contribution to the string tension from these objects, and compare the results to “full” measurements made …
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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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Time-evolution of SU(2) lattice gauge theory on a quantum computer
Lattice Gauge Theory is a mathematical tool used to study the forces of nature, like Quantum Electrodynamics and Quantum Chromodynamics. Quantum computers offer an alternative to classical computers in studying these forces. In my thesis, a gate-based quantum computer was used to perform …
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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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The Polyakov loop and its correlators in higher representations of SU(3) at finite temperature
… functions with fundamental sources in SU(3) pure gauge theory and 2-flavour QCD with staggered quarks and Qbar Q-singlet correlation functions with sources in the fundamental and adjoint representation in SU(3) pure gauge theory. We have tested a new renormalisation procedure for the Polyakov loop …
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ΙΣΟΤΟΠΙΚΗ ΓΕΝΙΚΕΥΣΗ ΤΩΝ ΘΕΩΡΙΩΝ ΒΑΘΜΙΔΑΣ
GAUGE THEORIES PLAY A FUNDAMENTAL ROLE IN THE CONTEMPORARY PHYSICAL DESCRIPTIONOF NATURE, BECAUSE EACH FUNDAMENTAL INTERACTION CAN BE DEDUCED BY MEANS OF A GAUGE PRINCIPLE AND ALSO BECAUSE OF GENERAL HOPE THAT ALL NATURAL FORCES MAY BE UNIFIED, SOONER OR LATER, INTO A SINGLE, SUITABLE GAUGE THEORY. …
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Some aspects of non-Abelian gauge theories
In this thesis we consider two aspects of the theory of non-Abelian gauge fields. In the first part,we calculate the fermion-fermion scattering amplitude for a non-Abelian gauge theory with SU(N) gauge symmetry in the limit of high energy with fixed momentum transfer through sixth order in the …
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Expressions for the generating function of the Donaldson invariants for CP²
… from a N = 2 supersymmetric topological U(1)-gauge theory by Moore and Witten. We derive the generating function for the Donaldson invariants of CP2 as the stationary phase approximation of the low-energy effective U(I)-gauge theory on CP2 thus obtaining an interpretation of the u-plane …
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Ghost and tachyon free gauge theories of gravity: A systematic approach
… parameters in the action of a parity-preserving gauge theory of gravity about a Minkowski background for it to be free of ghost or tachyon particles. The approach naturally accommodates critical cases in which the parameter values satisfying some critical conditions causing changes of particle …
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Yang-Mills replacement
… technique of Colding and Minicozzi in the gauge theory context. The idea behind harmonic replacement dates back to Schwarz and Perron, and the technique involves taking a function v: ... defined on a surface ... and replacing its values on a small ball B2 ... with a harmonic function u that …
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