Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge
arXiv:0811.2760 · doi:10.1103/PhysRevD.79.025019
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.
15 pages, one reference added, version accepted for publication in Phys. Rev. D
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Cited by in corpus (8)
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- Study of the properties of the Gribov region in SU(N) Euclidean Yang-Mills theories in the maximal Abelian gauge
- On bounds and boundary conditions in the continuum Landau gauge
- Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
- Yang-Mills theory in the maximal Abelian gauge in presence of scalar matter fields
- Exploring new horizons of the Gribov problem in Yang-Mills theories
- Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
- Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis