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A remark on the BRST symmetry in the Gribov-Zwanziger theory
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We show that the soft breaking of the BRST symmetry arising in the Gribov-Zwanziger theory can be converted into a linear breaking upon introduction of a set of BRST quartets of auxiliary fields. Due to its compatibility with the Quantum Action Principle, the linearly broken BRST symmetry can be directly converted into a suitable set of useful Slavnov-Taylor identities. As a consequence, it turns out that the renormalization aspects of the Gribov-Zwanziger theory can be addressed by means of the cohomology of a nilpotent local operator
Forward citations
Cited by 3 Pith papers
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On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
A gauge-invariant massive extension of Lorentz-violating Yang-Mills theory is constructed, along with a BRST-invariant refined Gribov-Zwanziger action and its tree-level propagator.
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Quark Propagator at one-loop in the Refined Gribov-Zwanziger framework
At one loop in the Refined Gribov-Zwanziger framework, the quark mass function agrees roughly with lattice QCD after fitting the gluon propagator, but the dressing function disagrees in the infrared.
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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.
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