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

arXiv comment11 pages, final version to appear in Phys. Rev. D

References in corpus (16)

• 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
• The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
• Landau gauge within the Gribov horizon
• SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
• 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
• Gribov horizon and i-particles: about a toy model and the construction of physical operators
• One loop gluon form factor and freezing of alpha_s in the Gribov-Zwanziger QCD Lagrangian
• Infrared analysis of Dyson-Schwinger equations taking into account the Gribov horizon in Landau gauge
• More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s)
• Goldstone bosons and fermions in QCD

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• Is soft breaking of BRST symmetry consistent?
• The Gribov horizon and spontaneous BRST symmetry breaking
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• Field-dependent BRST-antiBRST Transformations in Yang-Mills and Gribov-Zwanziger Theories
• Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
• Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
• On the elimination of infinitesimal Gribov ambiguities in non-Abelian gauge theories
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• Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge
• 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
• On the reanimation of a local BRST invariance in the (Refined) Gribov-Zwanziger formalism
• Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and Application to the Standard Model
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• Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
• On Gauge Independence for Gauge Models with Soft Breaking of BRST Symmetry
• Thermodynamics of an exactly solvable confining quark model
• Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory
• Spontaneous breaking of the BRST symmetry in presence of the Gribov horizon: renormalizability
• A study of the lightest glueball states in SU(2) Euclidean Yang-Mills theory in the maximal Abelian gauge
• Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
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• Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction
• Numerical Evaluation of the Bose-Ghost Propagator in Minimal Landau Gauge on the Lattice
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• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• On the zero modes of the Faddev-Popov operator in the Landau gauge
• Landau confining replica model from an explicitly breaking of a SU(3) group without auxiliary fields
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