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Using the extended ADM-phase space formulation in the canonical framework we analyze the relationship between various gauge choices made in cosmological perturbation theory and the choice of geometrical clocks in the relational formalism.…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Kristina Giesel , Adrian Herzog , Parampreet Singh

We extend the "gauge choice" problem Lamb noticed to include a time-dependent relativistic non-perturbative Coulomb field, which can be produced by a cluster of relativistic charged particles. If adiabatic conditions are carefully…

Quantum Physics · Physics 2022-06-01 Xue-Nan Chen , Yu-hang Luo , Xiang-Song Chen

We describe the fully gauge invariant cosmological perturbation equations in teleparallel gravity by using the gauge covariant version of the Stewart lemma for obtaining the variations in tetrad perturbations. In teleparallel theory,…

General Relativity and Quantum Cosmology · Physics 2016-05-31 A. Behboodi , S. Akhshabi , K. Nozari

We establish the isomorphism between a nonlinear $\sigma$-model and the abelian gauge theory on an arbitrary curved background, which allows us to derive integrable models and the corresponding Lax representations from gauge theoretical…

Mathematical Physics · Physics 2009-09-25 Hao-Shiung Lin , Oktay K. Pashaev , Shi-Shyr Roan

We establish the isomorphism between a nonlinear $\sigma$-model and the abelian gauge theory on an arbitrary curved background, which allows us to derive integrable models and the corresponding Lax representations from gauge theoretical…

High Energy Physics - Theory · Physics 2008-02-03 Shao-shiung Lin , Oktay K. Pashaev , Shi-shyr Roan

We introduce N-parameter perturbation theory as a new tool for the study of non-linear relativistic phenomena. The main ingredient in this formulation is the use of the Baker-Campbell-Hausdorff formula. The associated machinery allows us to…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Carlos F. Sopuerta , Marco Bruni , Leonardo Gualtieri

There is considered an extension of gauge theories according to the assumption of a generalized uncertainty principle which implies a minimal length scale. A modification of the usual uncertainty principle implies an extended shape of…

General Physics · Physics 2011-12-06 Martin Kober

Well-known and newly developed renormalization schemes for $\tan\beta$ are analyzed in view of three desirable properties: gauge independence, process independence, and numerical stability in perturbation theory. Arguments are provided that…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ayres Freitas , Dominik Stöckinger

The gauge parameter dependence of QED in the covariant gauge can be determined explicitly by introducing a Stueckelberg field, which is a non-interacting fictitious Goldstone boson field. Examples of QED with electrons or charged scalars…

High Energy Physics - Theory · Physics 2009-10-31 Hidenori Sonoda

Gauge theory is a well-established concept in quantum physics, electrodynamics, and cosmology. This theory has recently proliferated into new areas, such as mechanics and astrodynamics. In this paper, we discuss a few applications of gauge…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 Pini Gurfil

We derive the BRST symmetry, Slavnov-Taylor identities and Nielsen identities for the ABJM theories in ${\cal N}{=}3$ harmonic superspace. Further, the gauge dependence of one-particle irreducible amplitudes in such superconformal…

High Energy Physics - Theory · Physics 2015-10-01 Sudhaker Upadhyay

In a physical renormalization scheme, gauge couplings are defined directly in terms of physical observables. Such effective charges are analytic functions of physical scales, and thus mass thresholds are treated with their correct analytic…

High Energy Physics - Phenomenology · Physics 2009-09-11 Michael Binger , Stanley J. Brodsky

We reformulate gauge theories in analogy with the vierbein formalism of general relativity. More specifically, we reformulate gauge theories such that their gauge dynamical degrees of freedom are local fields that transform linearly under…

High Energy Physics - Theory · Physics 2016-11-23 Daniel J. H. Chung , Ran Lu

Flow equations describe the evolution of the effective action $\Gamma_k$ in the process of varying an infrared cutoff $k$. The presence of the infrared cutoff explicitly breaks gauge and hence BRS invariance. We derive modified…

High Energy Physics - Theory · Physics 2009-10-28 Ulrich Ellwanger

The calculation of the natural lineshape of an excited two-level atom (TLA) has long been known to be gauge-dependent, with certain experiments in better agreement with the lineshape calculated with the dipole gauge. We show that by using a…

Quantum Physics · Physics 2025-08-11 Chris Gustin

The scope of constrained differential renormalization is to provide renormalized expressions for Feynman graphs, preserving at the same time the Ward identities of the theory. It has been shown recently that this can be done consistently at…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. del Aguila , M. Perez-Victoria

Some conceptual issues concerning general invariant theories, with special emphasis on general relativity, are analyzed. The common assertion that observables must be required to be gauge invariant is examined in the light of the role…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. M. Pons

We consider two concepts often discussed as significant features of general relativity (particularly when contrasted with the other forces of the Standard Model): background independence and diffeomorphism invariance. We remind the reader…

General Relativity and Quantum Cosmology · Physics 2015-12-14 Casey Cartwright , Alex Flournoy

We present a minimal version for the renormalization of softly broken Super-Yang-Mills theories using the extended model with a local gauge coupling. It is shown that the non-renormalization theorems of the case with unbroken supersymmetry…

High Energy Physics - Phenomenology · Physics 2009-11-07 Elisabeth Kraus , Dominik Stöckinger

An alternative approach to scalar quantum electrodynamics has been proposed where the usual gauge redundancy of the theory do not manifest. The gauge-dependence of Coleman- Weinberg effective potential is resolved using gauge-free approach…

High Energy Physics - Theory · Physics 2012-10-04 Srijit Bhattacharjee
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