A Local Non-Abelian Gauge Invariant Action Stemming from the Nonlocal Operator F(D2)-1F

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1. Verfasser: D. Dudal
Format: Artículo científico
Sprache:en
Veröffentlicht: Sociedade Brasileira de Física 2007
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author D. Dudal
author_facet D. Dudal
contents A Local Non-Abelian Gauge Invariant Action Stemming from the Nonlocal Operator F(D2)-1F D. Dudal M. A. L. Capri J. A. Gracey V. E. R. Lemes R. F. Sobreiro S. P. Sorella H. Verschelde Física, Astronomía y Matemáticas Yang Mass BRST symmetry Renormalization Mills gauge theory We report on the nonlocal gauge invariant operator of dimension two, Fμn(D2)¡1Fμn. We are able to localizethis operator by introducing a suitable set of (anti)commuting antisymmetric tensor fields. Starting from this,we succeed in constructing a local gauge invariant action containing a mass parameter, and we prove the renormalizabilityto all orders of perturbation theory of this action in the linear covariant gauges using the algebraicrenormalization technique. We point out the existence of a nilpotent BRST symmetry. Despite the additional(anti)commuting tensor fields and coupling constants, we prove that our model in the limit of vanishing massis equivalent with ordinary massless Yang-Mills theories by making use of an extra symmetry in the masslesscase. We also present explicit renormalization group functions at two loop order in the MS scheme. 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437212 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1B Vol.37
format Artículo científico
id redalyc_46437212
institution Redalyc
language en
publishDate 2007
publisher Sociedade Brasileira de Física
spellingShingle A Local Non-Abelian Gauge Invariant Action Stemming from the Nonlocal Operator F(D2)-1F
D. Dudal
Física, Astronomía y Matemáticas
Yang
Mass
BRST symmetry
Renormalization
Mills gauge theory
A Local Non-Abelian Gauge Invariant Action Stemming from the Nonlocal Operator F(D2)-1F D. Dudal M. A. L. Capri J. A. Gracey V. E. R. Lemes R. F. Sobreiro S. P. Sorella H. Verschelde Física, Astronomía y Matemáticas Yang Mass BRST symmetry Renormalization Mills gauge theory We report on the nonlocal gauge invariant operator of dimension two, Fμn(D2)¡1Fμn. We are able to localizethis operator by introducing a suitable set of (anti)commuting antisymmetric tensor fields. Starting from this,we succeed in constructing a local gauge invariant action containing a mass parameter, and we prove the renormalizabilityto all orders of perturbation theory of this action in the linear covariant gauges using the algebraicrenormalization technique. We point out the existence of a nilpotent BRST symmetry. Despite the additional(anti)commuting tensor fields and coupling constants, we prove that our model in the limit of vanishing massis equivalent with ordinary massless Yang-Mills theories by making use of an extra symmetry in the masslesscase. We also present explicit renormalization group functions at two loop order in the MS scheme. 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437212 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1B Vol.37
title A Local Non-Abelian Gauge Invariant Action Stemming from the Nonlocal Operator F(D2)-1F
topic Física, Astronomía y Matemáticas
Yang
Mass
BRST symmetry
Renormalization
Mills gauge theory
url https://www.redalyc.org/articulo.oa?id=46437212