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We recalculate the color-Coulomb potential to one-loop order, under theassumption that the effect of the Gribov horizon is to make i) the transversegluon propagator less singular; and ii) the color-Coulomb potential moresingular, than their perturbative behavior in the low-momentum limit. As afirst guess, the effect of the Gribov horizon is mimicked by introducing atransverse momentum-dependent gluon mass term, leading to a propagator of theGribov form, with the prescription that the mass parameter should be adjustedto the unique value where the infrared behavior of the Coulomb potential isenhanced. We find that this procedure leads to a Coulomb potential risingasymptotically as a linear term modified by a logarithm.

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