Gluon mass generation in the PT-BFM scheme

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dc.contributor.authorAguilar, Arlene C. [UNESP]
dc.contributor.authorPapavassiliou, Joannis
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidad de Valencia-CSIC
dc.date.accessioned2014-05-27T11:22:02Z
dc.date.available2014-05-27T11:22:02Z
dc.date.issued2006-12-01
dc.description.abstractIn this article we study the general structure and special properties of the Schwinger-Dyson equation for the gluon propagator constructed with the pinch technique, together with the question of how to obtain infrared finite solutions, associated with the generation of an effective gluon mass. Exploiting the known all-order correspondence between the pinch technique and the background field method, we demonstrate that, contrary to the standard formulation, the non-perturbative gluon self-energy is transverse order-by-order in the dressed loop expansion, and separately for gluonic and ghost contributions. We next present a comprehensive review of several subtle issues relevant to the search of infrared finite solutions, paying particular attention to the role of the seagull graph in enforcing transversality, the necessity of introducing massless poles in the three-gluon vertex, and the incorporation of the correct renormalization group properties. In addition, we present a method for regulating the seagull-type contributions based on dimensional regularization; its applicability depends crucially on the asymptotic behavior of the solutions in the deep ultraviolet, and in particular on the anomalous dimension of the dynamically generated gluon mass. A linearized version of the truncated Schwinger-Dyson equation is derived, using a vertex that satisfies the required Ward identity and contains massless poles belonging to different Lorentz structures. The resulting integral equation is then solved numerically, the infrared and ultraviolet properties of the obtained solutions are examined in detail, and the allowed range for the effective gluon mass is determined. Various open questions and possible connections with different approaches in the literature are discussed. © SISSA 2006.en
dc.description.affiliationInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, SP
dc.description.affiliationDepartamento de Física Teórica and IFIC Centro Mixto Universidad de Valencia-CSIC, E-46100, Burjassot, Valencia
dc.description.affiliationUnespInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, SP
dc.identifierhttp://dx.doi.org/10.1088/1126-6708/2006/12/012
dc.identifierhttp://arxiv.org/abs/hep-ph/0610040
dc.identifier.citationJournal of High Energy Physics, v. 2006, n. 12, 2006.
dc.identifier.doi10.1088/1126-6708/2006/12/012
dc.identifier.issn1029-8479
dc.identifier.scopus2-s2.0-33846126598
dc.identifier.urihttp://hdl.handle.net/11449/69234
dc.identifier.wosWOS:000244081100013
dc.language.isoeng
dc.relation.ispartofJournal of High Energy Physics
dc.relation.ispartofjcr5.541
dc.relation.ispartofsjr1,227
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectNonperturbative Effects
dc.subjectQCD
dc.titleGluon mass generation in the PT-BFM schemeen
dc.typeArtigo
dcterms.licensehttp://iopscience.iop.org/page/copyright
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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