Non-Abelian Gauge Theories with Composite Fields in the Background Field Method

Non-Abelian Gauge Theories with Composite Fields in the Background Field Method

Dades bibliogràfiques
Parent link:Universe.— .— Basel: MDPI AG
Vol. 9, iss. 1.— 2023.— Article number 18, 39 p.
Autor principal: Moshin P. Yu. Pavel Yurjevich
Altres autors: Reshetnyak А. А. Aleksandr Aleksandrovich, Castro R. A. Ricardo Alexander
Sumari:Title screen
Non-Abelian gauge theories with composite fields are examined in the background field method. Generating functionals of Green’s functions for a Yang–Mills theory with composite and background fields are introduced, including the generating functional of vertex Green’s functions (effective action). The corresponding Ward identities are obtained, and the issue of gauge dependence is investigated. A gauge variation of the effective action is found in terms of a nilpotent operator depending on the composite and background fields. On-shell independence from the choice of gauge fixing for the effective action is established. In the study of the Ward identities and gauge dependence, finite field-dependent BRST transformations with a background field are introduced and employed on a systematic basis. On the one hand, this involves the consideration of (modified) Ward identities with a field-dependent anticommuting parameter, also depending on a non-trivial background. On the other hand, the issue of gauge dependence is studied with reference to a finite variation of the gauge Fermion. The concept of a joint introduction of composite and background fields to non-Abelian gauge theories is exemplified by the Gribov–Zwanziger theory, including the case of a local BRST-invariant horizon, and also by the Volovich–Katanaev model of two-dimensional gravity with dynamical torsion
Текстовый файл
Idioma:anglès
Publicat: 2023
Matèries:
электронный ресурс
труды учёных ТПУ
non-Abelian gauge theories
composite fields
background field method
effective action
field-dependent BRST transformations
Ward identities; gauge (in)dependence
Gribov–Zwanziger theory
Volovich–Katanaev model
Accés en línia:https://doi.org/10.3390/universe9010018
Format: Electrònic Capítol de llibre
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=684939

Ítems similars

Ítems similars