Gribov ambiguities at the Landau -- maximal Abelian interpolating gauge

Abstract

In a previous work, we presented a new method to account for the Gribov ambiguities in non-Abelian gauge theories. The method consists on the introduction of an extra constraint which directly eliminates the infinitesimal Gribov copies without the usual geometric approach. Such strategy allows to treat gauges with non-hermitian Faddeev-Popov operator. In this work, we apply this method to a gauge which interpolates among the Landau and maximal Abelian gauges. The result is a local and power counting renormalizable action, free of infinitesimal Gribov copies. Moreover, the interpolating tree-level gluon propagator is derived.

Several changes: figures removed, typos corrected and discussions included. 24 pages, to appear in EPJC

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• Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
• Non-perturbative treatment of the linear covariant gauges by taking into account the Gribov copies
• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge
• On bounds and boundary conditions in the continuum Landau gauge
• Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
• Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory
• Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Quantization of Yang-Mills Theories without the Gribov Ambiguity
• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects