A local non-Abelian gauge invariant action stemming from the nonlocal operator FmuN(D²)-1FmuN
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | , , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Physics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000200012 |
Resumo: | We report on the nonlocal gauge invariant operator of dimension two, FµN (D²)-1 FµN. We are able to localize this 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 renormalizability to all orders of perturbation theory of this action in the linear covariant gauges using the algebraic renormalization 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 mass is equivalent with ordinary massless Yang-Mills theories by making use of an extra symmetry in the massless case. We also present explicit renormalization group functions at two loop order in the ${\overline{\mbox{MS}}}$ scheme. |
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oai:scielo:S0103-97332007000200012 |
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SBF-2 |
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Brazilian Journal of Physics |
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spelling |
A local non-Abelian gauge invariant action stemming from the nonlocal operator FmuN(D²)-1FmuNYang-Mills gauge theoryBRST symmetryRenormalizationMassWe report on the nonlocal gauge invariant operator of dimension two, FµN (D²)-1 FµN. We are able to localize this 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 renormalizability to all orders of perturbation theory of this action in the linear covariant gauges using the algebraic renormalization 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 mass is equivalent with ordinary massless Yang-Mills theories by making use of an extra symmetry in the massless case. We also present explicit renormalization group functions at two loop order in the ${\overline{\mbox{MS}}}$ scheme.Sociedade Brasileira de Física2007-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000200012Brazilian Journal of Physics v.37 n.1b 2007reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332007000200012info:eu-repo/semantics/openAccessDudal,D.Capri,M. A. L.Gracey,J. A.Lemes,V. E. R.Sobreiro,R. F.Sorella,S. P.Verschelde,H.eng2007-05-11T00:00:00Zoai:scielo:S0103-97332007000200012Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2007-05-11T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
A local non-Abelian gauge invariant action stemming from the nonlocal operator FmuN(D²)-1FmuN |
title |
A local non-Abelian gauge invariant action stemming from the nonlocal operator FmuN(D²)-1FmuN |
spellingShingle |
A local non-Abelian gauge invariant action stemming from the nonlocal operator FmuN(D²)-1FmuN Dudal,D. Yang-Mills gauge theory BRST symmetry Renormalization Mass |
title_short |
A local non-Abelian gauge invariant action stemming from the nonlocal operator FmuN(D²)-1FmuN |
title_full |
A local non-Abelian gauge invariant action stemming from the nonlocal operator FmuN(D²)-1FmuN |
title_fullStr |
A local non-Abelian gauge invariant action stemming from the nonlocal operator FmuN(D²)-1FmuN |
title_full_unstemmed |
A local non-Abelian gauge invariant action stemming from the nonlocal operator FmuN(D²)-1FmuN |
title_sort |
A local non-Abelian gauge invariant action stemming from the nonlocal operator FmuN(D²)-1FmuN |
author |
Dudal,D. |
author_facet |
Dudal,D. Capri,M. A. L. Gracey,J. A. Lemes,V. E. R. Sobreiro,R. F. Sorella,S. P. Verschelde,H. |
author_role |
author |
author2 |
Capri,M. A. L. Gracey,J. A. Lemes,V. E. R. Sobreiro,R. F. Sorella,S. P. Verschelde,H. |
author2_role |
author author author author author author |
dc.contributor.author.fl_str_mv |
Dudal,D. Capri,M. A. L. Gracey,J. A. Lemes,V. E. R. Sobreiro,R. F. Sorella,S. P. Verschelde,H. |
dc.subject.por.fl_str_mv |
Yang-Mills gauge theory BRST symmetry Renormalization Mass |
topic |
Yang-Mills gauge theory BRST symmetry Renormalization Mass |
description |
We report on the nonlocal gauge invariant operator of dimension two, FµN (D²)-1 FµN. We are able to localize this 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 renormalizability to all orders of perturbation theory of this action in the linear covariant gauges using the algebraic renormalization 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 mass is equivalent with ordinary massless Yang-Mills theories by making use of an extra symmetry in the massless case. We also present explicit renormalization group functions at two loop order in the ${\overline{\mbox{MS}}}$ scheme. |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007-03-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000200012 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000200012 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97332007000200012 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
dc.source.none.fl_str_mv |
Brazilian Journal of Physics v.37 n.1b 2007 reponame:Brazilian Journal of Physics instname:Sociedade Brasileira de Física (SBF) instacron:SBF |
instname_str |
Sociedade Brasileira de Física (SBF) |
instacron_str |
SBF |
institution |
SBF |
reponame_str |
Brazilian Journal of Physics |
collection |
Brazilian Journal of Physics |
repository.name.fl_str_mv |
Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF) |
repository.mail.fl_str_mv |
sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br |
_version_ |
1754734863743713280 |