The Gribov horizon and the one-loop color-Coulomb potential

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.

15 pages, 2 figures

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Cited by in corpus (8)

• A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges
• Energy loss of a fast moving parton in Gribov-Zwanziger plasma
• Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
• Variational and Dyson--Schwinger Equations of Hamiltonian Quantum Chromodynamics
• The complex heavy-quark potential with the Gribov-Zwanziger action
• The Coulomb flux tube on the lattice
• The Coulomb flux tube revisited
• The Equal-Time Quark Propagator in Coulomb Gauge