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Gauge Theory plays a crucial role in many areas in science, including high energy physics, condensed matter physics and quantum information science. In quantum simulations of lattice gauge theory, an important step is to construct a wave…

High Energy Physics - Lattice · Physics 2022-11-08 Di Luo , Shunyue Yuan , James Stokes , Bryan K. Clark

We present a new approach to quantum general relativity based on the idea of Feynman to treat the graviton in Einstein's theory as a point particle field subject to quantum fluctuations just as any such field is in the well-known Standard…

High Energy Physics - Phenomenology · Physics 2009-06-19 B. F. L. Ward

Gauge invariance is essential for making physically meaningful predictions. In superconductors, mean-field Hamiltonians that explicitly break $U(1)$ symmetry often yield gauge-dependent results. While this issue has been resolved for linear…

Superconductivity · Physics 2025-05-19 Sena Watanabe , Haruki Watanabe

Gauge theories, through the local symmetry which is in their core, exhibit many local constraints, that must be taken care of and addressed in any calculation. In the Hamiltonian picture this is phrased through the Gauss laws, local…

Quantum Physics · Physics 2019-07-18 Erez Zohar , J. Ignacio Cirac

It is generally assumed that quantum field theory (QFT) is gauge invariant. However it is well known that non-gauge invariant terms appear in various calculations. This problem was examined in Refs. [3] and [4] and it was shown that at the…

Quantum Physics · Physics 2007-09-12 Dan Solomon

A physically defined QCD coupling parameter naturally incorporates massive quark flavor thresholds in a gauge invariant, renormalization scale independent and analytical way. In this paper we summarize recent results for the finite-mass…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Melles

Building on recent work in SU(N) Yang-Mills theory, we construct a manifestly gauge invariant exact renormalization group for QCD. A gauge invariant cutoff is constructed by embedding the physical gauge theory in a spontaneously broken…

High Energy Physics - Theory · Physics 2008-11-26 Tim R. Morris , Oliver J. Rosten

A gauge theory of quantum gravity is formulated, in which an internal, field dependent metric is introduced which non-linearly realizes the gauge fields on the non-compact group $SL(2,C)$, while linearly realizing them on $SU(2)$.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Moffat

We study the quantum simulation of Z2 lattice gauge theory in 2+1 dimensions. The dual variable formulation, the so-called Wegner duality, is utilized for reducing redundant gauge degrees of freedom. The problem of artificial charge…

High Energy Physics - Lattice · Physics 2021-02-02 Arata Yamamoto

Even though its classical equations of motion are then left invariant, when an action is redefined by an additive total derivative or divergence term (in time, in the case of a mechanical system) such a transformation induces nontrivial…

Quantum Physics · Physics 2023-06-19 Jan Govaerts

It is considered a mechanism of dynamical symmetry breaking for extended Ue(1)xUg(1) containing, one vector gauge field 'A' (photon) and one pseudo-vector gauge field 'C' (pseudo-photon). By choosing a particular solution of the equations…

High Energy Physics - Theory · Physics 2007-07-09 P. Castelo Ferreira

The interpretation of the apparent unification of gauge couplings within supersymmetric theories depends on uncertainties induced through heavy particle thresholds. While in standard grand unified theories these effects can be estimated…

High Energy Physics - Theory · Physics 2009-10-22 P. Mayr , H. P. Nilles , S. Stieberger

Electroweak observables are highly sensitive to the loop corrections. Therefore, a proper gauge-fixing mechanism is always needed to define the propagators which are involved in Feynman loop amplitude. With this spirit we compute…

High Energy Physics - Phenomenology · Physics 2016-09-27 Anindya Datta , Avirup Shaw

It has been proposed that any coupling constant in a covariant action can be treated as a conserved charge by promoting the coupling constant to auxiliary fields, typically realized by a scalar field paired with a higher-form gauge field.…

High Energy Physics - Theory · Physics 2026-05-15 Sojeong Cheong , Myungseok Eune , Wontae Kim , Mungon Nam

In a path-integral approach to quantum cosmology, the Lorenz gauge-averaging term is studied for Euclidean Maxwell theory on a portion of flat four-space bounded by two concentric three-spheres, but with arbitrary values of the gauge…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giampiero Esposito , Giuseppe Pollifrone

Modern undergraduate textbooks in electricity and magnetism typically focus on a force representation of electrodynamics with an emphasis on Maxwell's Equations and the Lorentz Force Law. The vector potential $\mathbf{A}$ and scalar…

General Physics · Physics 2008-07-15 T. Stein

The gravitational path integral measure has been the subject of an increasing interest lately, and no conclusive answer yet exists for its correct form. In this paper, we adopt effective field theory techniques to shed light on this issue.…

High Energy Physics - Theory · Physics 2025-11-20 Henrique Knopki , Iberê Kuntz

Among various approaches in proving gauge independence, models containing an explicit gauge dependence are convenient. The well-known example is the gauge parameter in the covariant gauge fixing which is of course most suitable for the…

High Energy Physics - Theory · Physics 2009-10-30 T. Kashiwa , N. Tanimura

We propose a reformulation of electrodynamics in terms of a {\it physical} vector potential entirely free of gauge ambiguities. Quantizing the theory leads to a propagator that is gauge invariant by construction in this reformulation, in…

High Energy Physics - Theory · Physics 2010-12-08 Parthasarathi Majumdar , Srijit Bhattacharjee

The Gaussian Effective Potential in a fixed transverse unitarity gauge is studied for the static three-dimensional U(1) scalar electrodynamics (Ginzburg-Landau phenomenological theory of superconductivity). In the broken-symmetry phase the…

Superconductivity · Physics 2007-05-23 M. Camarda , G. G. N. Angilella , R. Pucci , F. Siringo
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