Gauge (in)dependence and background field formalism

Gauge (in)dependence and background field formalism

It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. Application of this formalism to formulate the functional renormalization group approach is discussed. I...

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Main Author: Peter M. Lavrov
Format: Article
Language:English
Published: Elsevier 2019-04-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319301637
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spelling doaj-14fe1162f5b14fd1bf014a8488c17e732020-11-25T00:35:57ZengElsevierPhysics Letters B0370-26932019-04-01791293298Gauge (in)dependence and background field formalismPeter M. Lavrov0Tomsk State Pedagogical University, Kievskaya St. 60, 634061 Tomsk, Russia; National Research Tomsk State University, Lenin Av. 36, 634050 Tomsk, Russia; Correspondence to: Tomsk State Pedagogical University, Kievskaya St. 60, 634061 Tomsk, Russia.It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. Application of this formalism to formulate the functional renormalization group approach is discussed. It is proven that there is a possibility to construct the corresponding average effective action invariant under the gauge transformations of background vector field. Nevertheless, being gauge invariant this action remains gauge dependent on-shell. Keywords: Background field method, Yang-Mills theories, Gauge invariance, Functional renormalization group approach, Gauge dependencehttp://www.sciencedirect.com/science/article/pii/S0370269319301637
collection DOAJ
language English
format Article
sources DOAJ
author Peter M. Lavrov
spellingShingle Peter M. Lavrov
Gauge (in)dependence and background field formalism
Physics Letters B
author_facet Peter M. Lavrov
author_sort Peter M. Lavrov
title Gauge (in)dependence and background field formalism
title_short Gauge (in)dependence and background field formalism
title_full Gauge (in)dependence and background field formalism
title_fullStr Gauge (in)dependence and background field formalism
title_full_unstemmed Gauge (in)dependence and background field formalism
title_sort gauge (in)dependence and background field formalism
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2019-04-01
description It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. Application of this formalism to formulate the functional renormalization group approach is discussed. It is proven that there is a possibility to construct the corresponding average effective action invariant under the gauge transformations of background vector field. Nevertheless, being gauge invariant this action remains gauge dependent on-shell. Keywords: Background field method, Yang-Mills theories, Gauge invariance, Functional renormalization group approach, Gauge dependence
url http://www.sciencedirect.com/science/article/pii/S0370269319301637
work_keys_str_mv AT petermlavrov gaugeindependenceandbackgroundfieldformalism
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