Infrared finite ghost propagator in the Feynman gauge
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Infrared finite ghost propagator in the Feynman gauge

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Infrared finite ghost propagator in the Feynman gauge

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Aguilar, Arlene Cristina; Papavassiliou, Joannis
This document is a artículoDate2008

Este documento está disponible también en : http://hdl.handle.net/10550/43277
We demonstrate how to obtain from the Schwinger-Dyson equations of QCD an infrared finite ghost propagator in the Feynman gauge. The key ingredient in this construction is the longitudinal form factor of the non-perturbative gluon-ghost vertex, which, contrary to what happens in the Landau gauge, contributes non-trivially to the gap equation of the ghost. The detailed study of the corresponding vertex equation reveals that in the presence of a dynamical infrared cutoff this form factor remains finite in the limit of vanishing ghost momentum. This, in turn, allows the ghost self-energy to reach a finite value in the infrared, without having to assume any additional properties for the gluon-ghost vertex, such as the presence of massless poles. The implications of this result and possible future directions are briefly outlined.

    Aguilar, Arlene Cristina Papavassiliou, Joannis 2008 Infrared finite ghost propagator in the Feynman gauge Physical Review D 77 12 125022
http://dx.doi.org/10.1103/PhysRevD.77.125022

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