Effects of divergent ghost loops on the Green's functions of QCD
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Effects of divergent ghost loops on the Green's functions of QCD

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Effects of divergent ghost loops on the Green's functions of QCD

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dc.contributor.author Aguilar, Arlene Cristina
dc.contributor.author Binosi, Daniele
dc.contributor.author Ibáñez Gil de Ramales, David
dc.contributor.author Papavassiliou, Joannis
dc.date.accessioned 2014-07-23T11:20:33Z
dc.date.available 2014-07-23T11:20:33Z
dc.date.issued 2014
dc.identifier.uri http://hdl.handle.net/10550/37284
dc.description.abstract In the present work, we discuss certain characteristic features encoded in some of the fundamental QCD Green's functions, for which the origin can be traced back to the nonperturbative masslessness of the ghost field, in the Landau gauge. Specifically, the ghost loops that contribute to these Green's functions display infrared divergences, akin to those encountered in the perturbative treatment, in contradistinction to the gluonic loops, for which perturbative divergences are tamed by the dynamical generation of an effective gluon mass. In d=4, the aforementioned divergences are logarithmic, thus causing a relatively mild impact, whereas in d=3 they are linear, giving rise to enhanced effects. In the case of the gluon propagator, these effects do not interfere with its finiteness, but make its first derivative diverge at the origin, and introduce a maximum in the region of infrared momenta. The three-gluon vertex is also affected, and the induced divergent behavior is clearly exposed in certain special kinematic configurations, usually considered in lattice simulations; the sign of the corresponding divergence is unambiguously determined. The main underlying concepts are developed in the context of a simple toy model, which demonstrates clearly the interconnected nature of the various effects. The picture that emerges is subsequently corroborated by a detailed nonperturbative analysis, combining lattice results with the dynamical integral equations governing the relevant ingredients, such as the nonperturbative ghost loop and the momentum-dependent gluon mass.
dc.language.iso eng
dc.relation.ispartof Physical Review D, 2014, vol. 89, num. 3, p. 085008
dc.rights.uri info:eu-repo/semantics/openAccess
dc.source Aguilar, A. C. Binosi, Daniele Ibáñez Gil de Ramales, David Papavassiliou, Joannis 2014 Effects of divergent ghost loops on the Green's functions of QCD Physical Review D 89 3 085008
dc.subject Física
dc.title Effects of divergent ghost loops on the Green's functions of QCD
dc.type info:eu-repo/semantics/article
dc.date.updated 2014-07-23T11:20:33Z
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevD.89.085008
dc.identifier.idgrec 097645

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