Nonperturbative comparison of QCD effective charges
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Nonperturbative comparison of QCD effective charges

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Nonperturbative comparison of QCD effective charges

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dc.contributor.author Aguilar, Arlene Cristina
dc.contributor.author Binosi, Daniele
dc.contributor.author Papavassiliou, Joannis
dc.contributor.author Rodríguez Quintero, José
dc.date.accessioned 2015-04-23T07:14:12Z
dc.date.available 2015-04-23T07:14:12Z
dc.date.issued 2009
dc.identifier.uri http://hdl.handle.net/10550/43283
dc.description.abstract We study the non-perturbative behavior of two versions of the QCD effective charge, one obtained from the pinch technique gluon self-energy, and one from the ghost-gluon vertex. Despite their distinct theoretical origin, due to a fundamental identity relating various of the ingredients appearing in their respective definitions, the two effective charges are almost identical in the entire range of physical momenta, and coincide exactly in the deep infrared, where they freeze at a common finite value. Specifically, the dressing function of the ghost propagator is related to the two form factors in the Lorentz decomposition of a certain Green's function, appearing in a variety of field-theoretic contexts. The central identity, which is valid only in the Landau gauge, is derived from the Schwinger-Dyson equations governing the dynamics of the aforementioned quantities. The renormalization procedure that preserves the validity of the identity is carried out, and various relevant kinematic limits and physically motivated approximations are studied in detail. A crucial ingredient in this analysis is the infrared finiteness of the gluon propagator, which is inextricably connected with the aforementioned freezing of the effective charges. Some important issues related to the consistent definition of the effective charge in the presence of such a gluon propagator are resolved. We finally present a detailed numerical study of a special set of Schwinger-Dyson equations, whose solutions determine the non-perturbative dynamics of the quantities composing the two effective charges.
dc.language.iso eng
dc.relation.ispartof Physical Review D, 2009, vol. 80, num. 8, p. 085018
dc.rights.uri info:eu-repo/semantics/openAccess
dc.source Aguilar, Arlene Cristina Binosi, Daniele Papavassiliou, Joannis Rodríguez Quintero, José 2009 Nonperturbative comparison of QCD effective charges Physical Review D 80 8 085018
dc.subject Física
dc.title Nonperturbative comparison of QCD effective charges
dc.type info:eu-repo/semantics/article
dc.date.updated 2015-04-23T07:14:12Z
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevD.80.085018
dc.identifier.idgrec 056901

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