More on the properties of the first Gribov region in Landau gauge

Abstract

Complete gauge-fixing beyond perturbation theory in non-Abelian gauge theories is a non-trivial problem. This is particularly evident in covariant gauges, where the Gribov-Singer ambiguity gives an explicit formulation of the problem. In practice, this is a problem if gauge-dependent quantities between different methods, especially lattice and continuum methods, should be compared: Only when treating the Gribov-Singer ambiguity in the same way is the comparison meaningful. To provide a better basis for such a comparison the structure of the first Gribov region in Landau gauge, a subset of all possible gauge copies satisfying the perturbative Landau gauge condition, will be investigated. To this end, lattice gauge theory will be used to investigate a two-dimensional projection of the region for SU(2) Yang-Mills theory in two, three, and four dimensions for a wide range of volumes and discretizations.

42 pages, 23 figures, 1 table

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Cited by in corpus (14)

• Landau gauge Yang-Mills correlation functions
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• Reconstructing the gluon
• Non-perturbative finite-temperature Yang-Mills theory
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
• Accessing the topological susceptibility via the Gribov horizon
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• Gribov horizon and Gribov copies effect in lattice Coulomb gauge
• The analytic structure of three-point functions from contour deformations
• Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
• The quenched SU(2) scalar-gluon vertex in minimal Landau gauge
• Perturbative Yang-Mills theory without Faddeev-Popov ghost fields
• Gribov copies in the quark propagator