Gluon mass generation in the presence of dynamical quarks

We study in detail the impact of dynamical quarks on the gluon mass generation mechanism, in the Landau gauge, for the case of a small number of quark families. As in earlier considerations, we assume that the main bulk of the unquenching corrections to the gluon propagator originates from the fully...

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Autores: Aguilar, Arlene Cristina, Binosi, D., Papavassiliou, Joannis
Tipo de documento: artigo
Estado:Versión enviada para evaluación y publicación
Data de publicação:2013
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositório:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/126458
Acesso em linha:http://hdl.handle.net/10261/126458
Access Level:Acceso aberto
Palavra-chave:Dyson-schwinger equations
Background field method
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spelling Gluon mass generation in the presence of dynamical quarksAguilar, Arlene CristinaBinosi, D.Papavassiliou, JoannisDyson-schwinger equationsBackground field methodWe study in detail the impact of dynamical quarks on the gluon mass generation mechanism, in the Landau gauge, for the case of a small number of quark families. As in earlier considerations, we assume that the main bulk of the unquenching corrections to the gluon propagator originates from the fully dressed quark-loop diagram. The nonperturbative evaluation of this diagram provides the key relation that expresses the unquenched gluon propagator as a deviation from its quenched counterpart. This relation is subsequently coupled to the integral equation that controls the momentum evolution of the effective gluon mass, which contains a single adjustable parameter; this constitutes a major improvement compared to the analysis presented in Aguilar et al. [Phys. Rev. D 86, 014032 (2012)], where the behavior of the gluon propagator in the deep infrared was estimated through numerical extrapolation. The resulting nonlinear system is then treated numerically, yielding unique solutions for the modified gluon mass and the quenched gluon propagator, which fully confirms the picture put forth recently in several continuum and lattice studies. In particular, an infrared finite gluon propagator emerges, whose saturation point is considerably suppressed, due to a corresponding increase in the value of the gluon mass. This characteristic feature becomes more pronounced as the number of active quark families increases, and can be deduced from the infrared structure of the kernel entering in the gluon mass equation.The research of J. P. is supported by the Spanish MEYC under Grant No. FPA2011-23596. The work of A. C. A. is supported by the National Council for Scientific and Technological Development-CNPq under Grant No. 306537/2012-5 and Project No. 473260/2012-3, and by Sao Paulo Research Foundation-FAPESP through the project 2012/15643-1.Peer reviewedAmerican Physical SocietyMinisterio de Educación y Ciencia (España)Conselho Nacional de Desenvolvimento Científico e Tecnológico (Brasil)Fundação de Amparo à Pesquisa do Estado de São PauloConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]201520152013info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Preprintinfo:eu-repo/semantics/submittedVersionhttp://hdl.handle.net/10261/126458reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttp://dx.doi.org/10.1103/PhysRevD.88.074010Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1264582026-05-22T06:33:51Z
dc.title.none.fl_str_mv Gluon mass generation in the presence of dynamical quarks
title Gluon mass generation in the presence of dynamical quarks
spellingShingle Gluon mass generation in the presence of dynamical quarks
Aguilar, Arlene Cristina
Dyson-schwinger equations
Background field method
title_short Gluon mass generation in the presence of dynamical quarks
title_full Gluon mass generation in the presence of dynamical quarks
title_fullStr Gluon mass generation in the presence of dynamical quarks
title_full_unstemmed Gluon mass generation in the presence of dynamical quarks
title_sort Gluon mass generation in the presence of dynamical quarks
dc.creator.none.fl_str_mv Aguilar, Arlene Cristina
Binosi, D.
Papavassiliou, Joannis
author Aguilar, Arlene Cristina
author_facet Aguilar, Arlene Cristina
Binosi, D.
Papavassiliou, Joannis
author_role author
author2 Binosi, D.
Papavassiliou, Joannis
author2_role author
author
dc.contributor.none.fl_str_mv Ministerio de Educación y Ciencia (España)
Conselho Nacional de Desenvolvimento Científico e Tecnológico (Brasil)
Fundação de Amparo à Pesquisa do Estado de São Paulo
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Dyson-schwinger equations
Background field method
topic Dyson-schwinger equations
Background field method
description We study in detail the impact of dynamical quarks on the gluon mass generation mechanism, in the Landau gauge, for the case of a small number of quark families. As in earlier considerations, we assume that the main bulk of the unquenching corrections to the gluon propagator originates from the fully dressed quark-loop diagram. The nonperturbative evaluation of this diagram provides the key relation that expresses the unquenched gluon propagator as a deviation from its quenched counterpart. This relation is subsequently coupled to the integral equation that controls the momentum evolution of the effective gluon mass, which contains a single adjustable parameter; this constitutes a major improvement compared to the analysis presented in Aguilar et al. [Phys. Rev. D 86, 014032 (2012)], where the behavior of the gluon propagator in the deep infrared was estimated through numerical extrapolation. The resulting nonlinear system is then treated numerically, yielding unique solutions for the modified gluon mass and the quenched gluon propagator, which fully confirms the picture put forth recently in several continuum and lattice studies. In particular, an infrared finite gluon propagator emerges, whose saturation point is considerably suppressed, due to a corresponding increase in the value of the gluon mass. This characteristic feature becomes more pronounced as the number of active quark families increases, and can be deduced from the infrared structure of the kernel entering in the gluon mass equation.
publishDate 2013
dc.date.none.fl_str_mv 2013
2015
2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Preprint
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/126458
url http://hdl.handle.net/10261/126458
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://dx.doi.org/10.1103/PhysRevD.88.074010

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eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
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