Lifting the Gribov ambiguity in Yang-Mills theories

TL;DR

This paper introduces a new family of Landau gauges for Yang-Mills theories that are free from Gribov ambiguities, renormalizable, and exhibit favorable infrared behavior, improving the theoretical understanding of gauge fixing.

Contribution

It proposes a novel one-parameter family of Gribov-ambiguity-free Landau gauges formulated via functional integrals, suitable for analytic calculations in Yang-Mills theories.

Findings

The new gauges are perturbatively renormalizable in four dimensions.

They avoid the Neuberger zero problem of standard Faddeev-Popov gauges.

The renormalization group flow shows no Landau pole in the infrared for certain parameter ranges.

Abstract

We propose a new one-parameter family of Landau gauges for Yang-Mills theories which can be formulated by means of functional integral methods and are thus well suited for analytic calculations, but which are free of Gribov ambiguities and avoid the Neuberger zero problem of the standard Faddeev-Popov construction. The resulting gauge-fixed theory is perturbatively renormalizable in four dimensions and, for what concerns the calculation of ghost and gauge field correlators, it reduces to a massive extension of the Faddeev-Popov action. We study the renormalization group flow of this theory at one-loop and show that it has no Landau pole in the infrared for some - including physically relevant - range of values of the renormalized parameters.