Background field method and nonlinear gauges

Breno L. Giacchini; Peter M. Lavrov; Ilya L. Shapiro

Physics Letters B (Oct 2019)

Background field method and nonlinear gauges

Breno L. Giacchini,
Peter M. Lavrov,
Ilya L. Shapiro

Affiliations

Breno L. Giacchini: Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China; Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, CEP: 36036-330, MG, Brazil; Corresponding author.
Peter M. Lavrov: Department of Mathematical Analysis, Tomsk State Pedagogical University, 634061, Kievskaya St. 60, Tomsk, Russia; Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, CEP: 36036-330, MG, Brazil; National Research Tomsk State University, Lenin Av. 36, 634050 Tomsk, Russia
Ilya L. Shapiro: Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, CEP: 36036-330, MG, Brazil; Department of Mathematical Analysis, Tomsk State Pedagogical University, 634061, Kievskaya St. 60, Tomsk, Russia; National Research Tomsk State University, Lenin Av. 36, 634050 Tomsk, Russia

Journal volume & issue: Vol. 797

Abstract

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We present a reformulation of the background field method for Yang-Mills type theories, based on using a superalgebra of generators of BRST and background field transformations. The new approach enables one to implement and consistently use non-linear gauges in a natural way, by using the requirement of invariance of the fermion gauge-fixing functional under the background field transformations. Keywords: Background field method, Nonlinear gauge, Yang-Mills theories, Quantum gravity theories

Published in Physics Letters B

ISSN: 0370-2693 (Print); 1873-2445 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/physics-letters-b/

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