A remark on the BRST symmetry in the Gribov-Zwanziger theory

Abstract

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

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

References in corpus (8)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
• Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
• Gribov horizon and BRST symmetry: a few remarks

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• Implementing the Gribov-Zwanziger framework in N=1 Super Yang-Mills in the Landau gauge
• Field-Dependent BRST-antiBRST Lagrangian Transformations
• 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
• 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
• From unphysical gluon and ghost propagators to physical glueball propagators (in the Gribov-Zwanziger picture): a not so trivial task?
• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
• Gribov horizon, Polyakov loop and finite temperature