Infrared finite ghost propagator in the Feynman gauge

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

2007-12-05

arxiv.org/abs/0712.0780v1

Phys.Rev.D77:125022,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 9 figures

Scientific paper

10.1103/PhysRevD.77.125022

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.

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