Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations

We study an approximate version of the Schwinger-Dyson equation that controls the nonperturbative behavior of the ghost-gluon vertex in the Landau gauge. In particular, we focus on the form factor that enters in the dynamical equation for the ghost dressing function, in the same gauge, and derive it...

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Autores: Aguilar, Arlene Cristina, Ibáñez Gil de Ramales, David, Papavassiliou, Joannis
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2013
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/126306
Acceso en línea:http://hdl.handle.net/10261/126306
Access Level:acceso abierto
Palabra clave:Yang-mills theory
Quantum chromodynamics
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spelling Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equationsAguilar, Arlene CristinaIbáñez Gil de Ramales, DavidPapavassiliou, JoannisYang-mills theoryQuantum chromodynamicsWe study an approximate version of the Schwinger-Dyson equation that controls the nonperturbative behavior of the ghost-gluon vertex in the Landau gauge. In particular, we focus on the form factor that enters in the dynamical equation for the ghost dressing function, in the same gauge, and derive its integral equation, in the "one-loop dressed" approximation. We consider two special kinematic configurations, which simplify the momentum dependence of the unknown quantity; in particular, we study the soft gluon case and the well-known Taylor limit. When coupled with the Schwinger-Dyson equation of the ghost dressing function, the contribution of this form factor provides considerable support to the relevant integral kernel. As a consequence, the solution of this coupled system of integral equations furnishes a ghost dressing function that reproduces the standard lattice results rather accurately, without the need to artificially increase the value of the gauge coupling.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 the Grant No. 306537/2012-5 and Project No. 473260/2012-3 and by Sao Paulo Research Foundation-FAPESP through Project No. 2012/15643-1.Peer reviewedAmerican Physical SocietyMinisterio de Economía y Competitividad (España)Conselho Nacional de Desenvolvimento Científico e Tecnológico (Brasil)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]2013info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Preprintinfo:eu-repo/semantics/submittedVersionhttp://hdl.handle.net/10261/126306reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttp://dx.doi.org/10.1103/PhysRevD.87.114020Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1263062026-05-22T06:33:51Z
dc.title.none.fl_str_mv Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
title Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
spellingShingle Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
Aguilar, Arlene Cristina
Yang-mills theory
Quantum chromodynamics
title_short Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
title_full Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
title_fullStr Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
title_full_unstemmed Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
title_sort Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
dc.creator.none.fl_str_mv Aguilar, Arlene Cristina
Ibáñez Gil de Ramales, David
Papavassiliou, Joannis
author Aguilar, Arlene Cristina
author_facet Aguilar, Arlene Cristina
Ibáñez Gil de Ramales, David
Papavassiliou, Joannis
author_role author
author2 Ibáñez Gil de Ramales, David
Papavassiliou, Joannis
author2_role author
author
dc.contributor.none.fl_str_mv Ministerio de Economía y Competitividad (España)
Conselho Nacional de Desenvolvimento Científico e Tecnológico (Brasil)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Yang-mills theory
Quantum chromodynamics
topic Yang-mills theory
Quantum chromodynamics
description We study an approximate version of the Schwinger-Dyson equation that controls the nonperturbative behavior of the ghost-gluon vertex in the Landau gauge. In particular, we focus on the form factor that enters in the dynamical equation for the ghost dressing function, in the same gauge, and derive its integral equation, in the "one-loop dressed" approximation. We consider two special kinematic configurations, which simplify the momentum dependence of the unknown quantity; in particular, we study the soft gluon case and the well-known Taylor limit. When coupled with the Schwinger-Dyson equation of the ghost dressing function, the contribution of this form factor provides considerable support to the relevant integral kernel. As a consequence, the solution of this coupled system of integral equations furnishes a ghost dressing function that reproduces the standard lattice results rather accurately, without the need to artificially increase the value of the gauge coupling.
publishDate 2013
dc.date.none.fl_str_mv 2013
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/10261/126306
url http://hdl.handle.net/10261/126306
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.87.114020

dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
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repository.mail.fl_str_mv
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