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Showing 1 to 20 of 85 for “"GAUGE (THEORIES)"”.
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Gauge theories of gravity
… theory of relativity is presented, based on the gauge principle. The gravitational Lagrangian has no Einstein--Hilbert term, but is constructed from quadratic invariants of the Riemann--Cartan curvature and torsion, constituting a geometric gauge theory of the Poincaré group. Despite the …
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Quantization of anomalous gauge theories
"We discuss the quantization of Anomalous Gauge Theories (AGT) both in the context of functional integration and canonical Hamiltonian approach. The Wess-Zumino term (WZT), which repairs gauge symmetry in AGT is discussed and its derivation is presented in the canonical approach as a consequence of …
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Quantization of anomalous gauge theories
"We discuss the quantization of Anomalous Gauge Theories (AGT) both in the context of functional integration and canonical Hamiltonian approach. The Wess-Zumino term (WZT), which repairs gauge symmetry in AGT is discussed and its derivation is presented in the canonical approach as a consequence of …
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Introduction to lattice gauge theories
The thesis is organized as follows. Part I is a general introduction to LGT. The theory is discussed from first principles, so that for the interested reader no previous knowledge is required, although it is assumed that he/she will be familiar with the rudiments of relativistic quantum mechanics. …
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Lattice gauge theories on Lefschetz thimbles
In this work we take a look at lattice gauge theories with and without dynamical fermions in dimensions 0+1d and 1+1d, gauge groups U(1) and SU(3), complex coupling β and finite chemical potential. These suffer from a sign problem, which prohibits their simulation with traditional MCMC techniques. …
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Phase transitions in lattice gauge theories
"Topological excitations in lattice gauge theories are studied with an aim towards understanding the role of such excitations in the Abelian Higgs model. First, the topological excitations of the compact U(l) lattice Higgs model are reviewed. The phases of the system are discussed in terms of these …
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Confinement and deconfinement in gauge theories
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Physics, 1999.
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Some aspects of non-Abelian gauge theories
… 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 coupling constant. We …
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Higher-rank gauge theories in condensed matter physics
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-12-01
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Strings and monopoles in strongly interacting gauge theories
… thesis we discuss aspects of strongly coupled gauge theories in two and three dimensions. In three dimensions, we present results for the scaling dimension and transformation properties of monopole operators in gauge theories with large numbers of fermions. In two dimensions, we study (0,2) …
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Supersymmetric gauge theories from D3-branes on singularities
… thesis we study four-dimensional supersymmetric gauge theories and their string theory realization. After an introduction and a brief review of some basic concepts at the interface of gauge theories and string theory, we begin by examining the duality cascade phenomenon for quiver gauge theories. …
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Aspects of double geometry and supersymmetric gauge theories
… part focuses on exact results in supersymmetric gauge theories. We first discuss T-duality symmetry of string theory from various perspectives. We next review the manifest-duality-symmetric formulation of low-energy effective actions: double field theory (DFT) and its higher-derivative …
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Low Dimensional Supersymmetric Gauge Theories and Mathematical Applications
This thesis studies N=(2,2) gauged linear sigma models (GLSMs) and three-dimensional N=2 Chern-Simons-matter theories and their mathematical applications. After a brief review of GLSMs, we systematically study nonabelian GLSMs for symplectic and orthogonal Grassmannians, following up a proposal in …
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Geometric aspects of three dimensional N = 4 gauge theories
… geometric aspects of three dimensional N = 4 gauge theories. We focus mainly on the factorisation property of supersymmetric partition functions of these theories and introduce hemisphere blocks that precisely realise the factorisation. We define these blocks as UV partition functions on a …
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Accelerating Flow-Based Sampling for Large-𝑁 Gauge Theories
… (QCD), which can be described as an SU(3) gauge theory due to the 3 quark colors and 8 gluon types, is one sector of the Standard Model for which computing solutions is especially challenging. A natural theoretical generalization of QCD is the class of all SU(𝑁) gauge theories; these …
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Towards Error-Resilience in Quantum Simulation of Lattice Gauge Theories
… rewarding target is given by lattice gauge theories. The fundamental principle of gauge-invariance imposes local gauge constraints upon their constituents, e.g. charged matter and the electric gauge field, which are highly challenging to engineer and which lead to intriguing yet not …
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Dihedral non-Abelian Lattice Gauge Theories: Physics and Quantum Simulation
Lattice gauge theories provide a first-principles, non-perturbative formulation of the fundamental interactions of the Standard Model, and their Hamiltonian reformulation on a quantum simulator offers a promising route to regimes---real-time dynamics, finite baryon density---that lie beyond the …
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Fermions in Yang-Mills gauge theories: invariance, covariance and topology
… This includes the study of anomalies of the gauge currents. We are particularly interested in the geometric and topological features in the problem. The complicated topological structures and properties present in these theories are made clear by elementary calculations in several simple …
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Self-duality for SU([infinity]) gauge theories and extended objects
… between the large N limit of SU(N) gauge theories and the membrane theory. This correspondence is established via the use of the coadjoint orbit method. It is shown that classical gauge field theories can be formulated on the coadjoint orbits of an infinite dimensional group (a …
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