Gribov horizon and BRST symmetry: a few remarks

Abstract

The issue of the BRST symmetry in presence of the Gribov horizon is addressed in Euclidean Yang-Mills theories in the Landau gauge. The positivity of the Faddeev-Popov operator within the Gribov region enables us to convert the soft breaking of the BRST invariance exhibited by the Gribov-Zwanziger action into a non-local exact symmetry, displaying explicit dependence from the non-perturbative Gribov parameter. Despite its non-locality, this symmetry turns out to be useful in order to establish non-perturbative Ward identities, allowing us to evaluate the vacuum expectation value of quantities which are BRST exact. These results are generalized to the refined Gribov-Zwanziger action introduced in [1], which yields a gluon propagator which is non-vanishing at the origin in momentum space, and a ghost propagator which is not enhanced in the infrared.

23 pages, final version, to appear in Phys. Rev. D

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• Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
• BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
• Study of the properties of the Gribov region in SU(N) Euclidean Yang-Mills theories in the maximal Abelian gauge
• Symmetry breaking, conformal geometry and gauge invariance
• Renormalizability of the linearly broken formulation of the BRST symmetry in presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories
• Implementing the Gribov-Zwanziger framework in N=1 Super Yang-Mills in the Landau gauge
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• Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory
• Towards background field independence within the Gribov horizon
• Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
• Decoupling and scaling solutions in Yang-Mills theory with the Gribov horizon
• Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Correspondence between the twisted $N=2$ super-Yang-Mills and conformal Baulieu-Singer theories
• Remarks on Gribov mechanism on N=1 Supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
• Predicting Planck scale and Newtonian constant from a Yang-Mills gauge theory: 1 and 2-loops estimates
• A mass-deformed BLG theory in Gribov-Zwanziger framework
• Gribov Propagator and Symmetry Breaking
• Gribov horizon, Polyakov loop and finite temperature
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
• On BRST-Related Symmetries in the FLPR Model with Gribov Ambiguities