A local and BRST-invariant Yang-Mills theory within the Gribov horizon

Abstract

We present a local setup for the recently introduced BRST-invariant formulation of Yang-Mills theories for linear covariant gauges that takes into account the existence of gauge copies à la Gribov and Zwanziger. Through the convenient use of auxiliary fields, including one of the Stueckelberg type, it is shown that both the action and the associated nilpotent BRST operator can be put in local form. Direct consequences of this fully local and BRST-symmetric framework are drawn from its Ward identities: (i) an exact prediction for the longitudinal part of the gluon propagator in linear covariant gauges that is compatible with recent lattice results and (ii) a proof of the gauge-parameter independence of all correlation functions of local BRST-invariant operators.

29 pages

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Cited by in corpus (56)

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• Quantum Gauge Freedom in Very Special Relativity
• A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges
• The BRST-invariant vacuum state of the Gribov-Zwanziger theory
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• Study of Gribov Copies in the Yang-Mills ensemble
• Constrained gauge-gravity duality in three and four dimensions
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• QCD phase diagram from the gluon propagator at finite temperature and density
• Renormalizability of the center-vortex free sector of Yang-Mills theory
• Heavy quark dynamics via Gribov-Zwanziger approach
• Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction
• Correspondence between the twisted $N=2$ super-Yang-Mills and conformal Baulieu-Singer theories
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• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
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• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
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