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We analyse the gauge-dependence of the effective action in an interacting quantum theory of gravitational and matter fields. An explicit off-shell result is obtained in a general background gauge at one-loop order, which reduces in a…

High Energy Physics - Theory · Physics 2026-04-28 J. Frenkel , S. Martins-Filho

Using the Batalin-Vilkovisky technique and the background field method the proof of gauge invariant renormalizability is elaborated for a generic model of quantum gravity which is diffeomorphism invariant and has no other, potentially…

High Energy Physics - Theory · Physics 2019-08-07 Peter M. Lavrov , Ilya L. Shapiro

It is shown that ghost fields are indispensable in deriving well-defined antiderivatives in pure space-like axial gauge quantizations of gauge fields. To avoid inessential complications we confine ourselves to noninteracting abelian fields…

High Energy Physics - Theory · Physics 2007-05-23 Y. Nakawaki , G. McCartor

It is shown that gauge theories are most naturally studied via a polar decomposition of the field variable. Gauge transformations may be viewed as those that leave the density invariant but change the phase variable by additive amounts. The…

Other Condensed Matter · Physics 2016-08-31 Girish S. Setlur

The action principle is used to derive, by an entirely algebraic approach, gauge transformations of the full vacuum-to-vacuum transition amplitude (generating functional) from the Coulomb gauge to arbitrary covariant gauges and in turn to…

High Energy Physics - Theory · Physics 2008-11-26 Edouard B. Manoukian , Suppiya Siranan

The aim of this paper is to give a firm and clear proof of the existence in the background field framework of a gauge invariant effective action for any gauge theory ({\it background gauge equivalence}). Here by effective action we mean a…

High Energy Physics - Theory · Physics 2008-11-26 Carlo Becchi , Renzo Collina

Field theory and gauge theory on noncommutative spaces have been established as their own areas of research in recent years. The hope prevails that a noncommutative gauge theory will deliver testable experimental predictions and will thus…

High Energy Physics - Theory · Physics 2008-11-26 Lutz Möller

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the positions and orientations of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Anthony Lasenby , Chris Doran , Stephen Gull

We construct effective field theories for gapped quantum Hall systems coupled to background geometries with local Galilean invariance i.e. Bargmann spacetimes. Along with an electromagnetic field, these backgrounds include the effects of…

Mesoscale and Nanoscale Physics · Physics 2016-09-20 Michael Geracie , Kartik Prabhu , Matthew M. Roberts

A new formulation of nonabelian gauge theories, introducing new ghost fields and new symmetry is proposed. This formulation does not suffer from Gribov ambiguity and allows to quantize nonabelian gauge fields beyond perturbation theory.

High Energy Physics - Theory · Physics 2013-10-31 A. A. Slavnov

A very simple field theory in noncommutative phase space X^{M},P^{M} in d+2 dimensions, with a gauge symmetry based on noncommutative u*(1,1), furnishes the foundation for the field theoretic formulation of Two-Time Physics. This leads to a…

High Energy Physics - Theory · Physics 2009-11-07 Itzhak Bars

This paper proves that it is possible to build a Lagrangian for quantum electrodynamics which makes it explicit that the photon mass is eventually set to zero in the physical part on observational ground. Gauge independence is achieved upon…

High Energy Physics - Theory · Physics 2015-11-18 Giampiero Esposito

The gauge field theories are usually quantized by fixing gauge. In this paper, we propose a new formalism that quantizes gauge fields without gauge fixing but naturally follows canonical formalism. New physical implications will follow.

High Energy Physics - Theory · Physics 2009-10-06 Tsuguo Mogami

A current algebra based effective chiral theory of pseudoscalar, vector, axial-vector mesons is reviewed. A new mechanism generating the masses and guage fixing terms of gauge boson is revealed from this effective theory. A EW theory…

High Energy Physics - Phenomenology · Physics 2014-11-18 Bing An Li

Non-standard topics underlying a partly original approach to gauge field theory are concisely introduced, expressing ideas that were broached in several papers and, eventually, exposed in an organized form in a recently published book. By…

Mathematical Physics · Physics 2020-11-16 Daniel Canarutto

We consider topological gauge theories in three dimensions which are defined by metric independent lagrangians. It has been claimed that the functional integration necessarily depends nontrivially on the gauge-fixing metric. We demonstrate…

High Energy Physics - Theory · Physics 2022-06-29 Enore Guadagnini , Federico Rottoli , Frank Thuillier

Pure gauge theories for de Sitter, anti de Sitter and orthogonal groups, in four-dimensional Euclidean spacetime, are studied. It is shown that, if the theory is asymptotically free and a dynamical mass is generated, then an effective…

High Energy Physics - Theory · Physics 2012-12-13 R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya

For the Becchi-Rouet-Stora-Tyutin (BRST) invariant extended action for any gauge theory, there exists another off-shell nilpotent symmetry. For linear gauges, it can be elevated to a symmetry of the quantum theory and used in the…

High Energy Physics - Theory · Physics 2009-10-31 Amitabha Lahiri

Covariant forms are given to a gauge theory of massive tensor field. This is accomplished by introducing another auxiliary field of scalar type to the system composed of a symmetric tensor field and an auxiliary field of vector type. The…

High Energy Physics - Theory · Physics 2009-10-30 Shinji Hamamoto

In gauge theories, physical histories are represented by space-time connections modulo gauge transformations. The space of histories is thus intrinsically non-linear. The standard framework of constructive quantum field theory has to be…

High Energy Physics - Theory · Physics 2007-05-23 A. Ashtekar , J. Lewandowski , D. Marolf , J. Mourao , T. Thiemann