Gribov horizon and the one-loop color-Coulomb potential

Maarten Golterman, Jeff Greensite, Santiago Peris, Adam P. Szczepaniak

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7 Citations (Scopus)

Abstract

We recalculate the color-Coulomb potential to one-loop order, under the assumption that the effect of the Gribov horizon is to make (i)the transverse gluon propagator less singular and (ii)the color-Coulomb potential more singular than their perturbative behavior in the low-momentum limit. As a first guess, the effect of the Gribov horizon is mimicked by introducing a transverse momentum-dependent gluon mass term, leading to a propagator of the Gribov form, with the prescription that the mass parameter should be adjusted to the unique value where the infrared behavior of the Coulomb potential is enhanced. We find that this procedure leads to a Coulomb potential rising asymptotically as a linear term modified by a logarithm. © 2012 American Physical Society.
Original languageEnglish
Article number085016
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume85
Issue number8
DOIs
Publication statusPublished - 11 Apr 2012

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