Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge

Abstract

The properties of the Gribov region in SU(2) Euclidean Yang-Mills theories in the maximal Abelian gauge are investigated. This region turns out to be bounded in all off-diagonal directions, while it is unbounded along the diagonal one. The soft breaking of the BRST invariance due to the restriction of the domain of integration in the path integral to the Gribov region is scrutinized. Owing to the unboundedness in the diagonal direction, the invariance with respect to Abelian transformations is preserved, a property which is at the origin of the local U(1) Ward identity of the maximal Abelian gauge.

arXiv comment15 pages, one reference added, version accepted for publication in Phys. Rev. D

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Cited by in corpus (24)

• Gribov horizon and BRST symmetry: a few remarks
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• On the elimination of infinitesimal Gribov ambiguities in non-Abelian gauge theories
• On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge
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