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Covariant gauges without Gribov ambiguities in Yang-Mills theories

J. Serreau1, M. Tissier2, and A. Tresmontant1,2

  • 1Astro-Particule et Cosmologie (APC), CNRS UMR 7164, Université Paris 7 - Denis Diderot 10, rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France
  • 2LPTMC, Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, Université Pierre et Marie Curie, boite 121, 4 place Jussieu, 75252 Paris Cedex 05, France

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Phys. Rev. D 89, 125019 – Published 24 June, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.125019

Abstract

We propose a one-parameter family of nonlinear covariant gauges which can be formulated as an extremization procedure that may be amenable to lattice implementation. At high energies, where the Gribov ambiguities can be ignored, this reduces to the Curci-Ferrari-Delbourgo-Jarvis gauges. We further propose a continuum formulation in terms of a local action which is free of Gribov ambiguities and avoids the Neuberger zero problem of the standard Faddeev-Popov construction. This involves an averaging over Gribov copies with a nonuniform weight, which introduces a new gauge-fixing parameter. We show that the proposed gauge-fixed action is perturbatively renormalizable in four dimensions and we provide explicit expressions of the renormalization factors at one loop. We discuss the possible implications of the present proposal for the calculation of Yang-Mills correlators.

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Phys. Rev. D 89, 125019– Published 24 June, 2014
  • Received 23 July 2013

© 2014 American Physical Society

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