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...
| Autores: | , , |
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| 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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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 Sí |
| 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 |
| repository.name.fl_str_mv |
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| repository.mail.fl_str_mv |
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| _version_ |
1869405782597959680 |
| score |
15,81155 |