Adding Gribov-copy removal and condensates to three-dimensional Yang-Mills-Chern-Simons theory in linear covariant gauges leaves the theory finite at all orders.
Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge
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The non-perturbative nilpotent exact BRST symmetry of the Gribov-Zwanziger action in the Landau gauge constructed in [ arXiv:1506.06995 [hep-th]] is generalized to the case of Euclidean Yang-Mills theories quantized in the maximal Abelian gauge. The resulting diagonal gluon propagator is evaluating in dimensions D=4,3,2. In D=4,3 a decoupling type behavior is found in the infrared region, while in D=2 a scaling type behavior emerges.
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Finiteness of the Yang-Mills-Chern-Simons action in linear covariant gauges by taking into account gauge copies
Adding Gribov-copy removal and condensates to three-dimensional Yang-Mills-Chern-Simons theory in linear covariant gauges leaves the theory finite at all orders.