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

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

2008-11-17

arxiv.org/abs/0811.2760v2

Phys.Rev.D79:025019,2009

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.79.025019

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.

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