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Title

Nonperturbative comparison of QCD effective charges

AuthorsAguilar, Arlene Cristina CSIC ORCID; Binosi, D.; Papavassiliou, Joannis CSIC ORCID CVN; Rodriguez-Quintero, J.
Issue Date15-Oct-2009
PublisherAmerican Physical Society
CitationPhysical Review - Section D - Particles and Fields 80 (8): 085018 (2009)
AbstractRevert field We study the nonperturbative 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 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 nonperturbative dynamics of the quantities composing the two effective charges.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevD.80.085018
URI10261/19958
DOI10.1103/PhysRevD.80.085018
ISSN1550-7998
Appears in Collections:(IFIC) Artículos




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