Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges

Abstract

In this paper we address the issue of the non-perturbative quantization of Euclidean Yang-Mills theories in the Curci-Ferrari gauge. In particular, we construct a Refined Gribov-Zwanziger action for this gauge which takes into account the presence of gauge copies as well as the dynamical formation of dimension two condensates. This action enjoys a non-perturbative BRST symmetry recently proposed in \cite{Capri:2015ixa}. Finally, we give attention to the gluon propagator in different space-time dimensions.

arXiv comment27 pages, no figures, V2: discussions extended, to appear in EPJC

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Cited by in corpus (11)

• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• 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
• 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
• 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