Non-perturbative treatment of the linear covariant gauges by taking into account the Gribov copies

Abstract

In this paper, a proposal for the restriction of the Euclidean functional integral to a region free of infinitesimal Gribov copies in linear covariant gauges is discussed. An effective action, akin to the Gribov-Zwanziger action of the Landau gauge, is obtained which implements the aforementioned restriction. Although originally non-local, this action can be cast in local form by introducing auxiliary fields. As in the case of the Landau gauge, dimension two condensates are generated at the quantum level, giving rise to a refinement of the action which is employed to obtain the tree-level gluon propagator in linear covariant gauges. A comparison of our results with those available from numerical lattice simulations is also provided.

21 pages, no figures, version to appear in EPJC

References in corpus (17)

• 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
• Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
• Covariant gauge on the lattice: a new implementation
• Gribov horizon and BRST symmetry: a few remarks
• On gluon and ghost propagators in linear covariant gauges
• A remark on the BRST symmetry in the Gribov-Zwanziger theory
• Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
• A study of the maximal Abelian gauge in SU(2) Euclidean Yang-Mills theory in the presence of the Gribov horizon
• Study of the properties of the Gribov region in SU(N) Euclidean Yang-Mills theories in the maximal Abelian gauge
• Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge
• On bounds and boundary conditions in the continuum Landau gauge
• Linear Covariant Gauges on the Lattice

Cited by in corpus (18)

• Analytical study of Yang-Mills theory in the infrared from first principles
• Analytic structure of QCD propagators in Minkowski space
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges
• Aspects of the refined Gribov-Zwanziger action in linear covariant gauges
• Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
• Faddeev-Popov Matrix in Linear Covariant Gauge: First Results
• Yang-Mills ghost propagator in linear covariant gauges
• Towards background field independence within the Gribov horizon
• Study of Gribov Copies in the Yang-Mills ensemble
• 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
• The Veneziano ghost, glost and gauge copies in QCD
• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
• Screened massive expansion of the quark propagator in the Landau gauge