Linear Covariant Gauges on the Lattice

Abstract

Linear covariant gauges, such as Feynman gauge, are very useful in perturbative calculations. Their nonperturbative formulation is, however, highly non-trivial. In particular, it is a challenge to define linear covariant gauges on a lattice. We consider a class of gauges in lattice gauge theory that coincides with the perturbative definition of linear covariant gauges in the formal continuum limit. The corresponding gauge-fixing procedure is described and analyzed in detail, with an application to the pure SU(2) case. In addition, results for the gluon propagator in the two-dimensional case are given.

21 pages, 6 figures, 5 tables; added comments and minor changes, 1 figure added, 1 modified

References in corpus (54)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Infrared Properties of QCD from Dyson-Schwinger equations
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Quark Confinement from Color Confinement
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
• Non-perturbative Landau gauge and infrared critical exponents in QCD
• Infrared behaviour and fixed points in Landau gauge QCD
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• On the IR behaviour of the Landau-gauge ghost propagator
• Unquenched quark propagator in Landau gauge
• Non-perturbative Faddeev-Popov formula and infrared limit of QCD
• Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
• Unquenched Gluon Propagator in Landau Gauge
• A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations
• IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
• The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
• Towards the infrared limit in SU(3) Landau gauge lattice gluodynamics
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• Propagators and running coupling from SU(2) lattice gauge theory
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• Numerical Study of the Ghost-Gluon Vertex in Landau gauge
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Problems in Lattice Gauge Fixing
• Is the QCD ghost dressing function finite at zero momentum ?
• Time-independant stochastic quantization, DS equations, and infrared critical exponents in QCD
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Quark Confinement: The Hard Problem of Hadron Physics
• Improved Landau gauge fixing and the suppression of finite-volume effects of the lattice gluon propagator
• Critical Slowing-Down in $SU(2)$ Landau Gauge-Fixing Algorithms
• High-Temperature Limit of Landau-Gauge Yang-Mills Theory
• A study of the Gribov copies in linear covariant gauges in Euclidean Yang-Mills theories
• Landau gauge ghost and gluon propagators in SU(2) lattice gauge theory: Gribov ambiguity revisited
• Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
• Unquenching effects in the quark and gluon propagator
• What's up with IR gluon and ghost propagators in Landau gauge? A puzzling answer from huge lattices
• On the infrared behaviour of Gluons and Ghosts in Ghost-Antighost symmetric gauges
• Spectral properties of the Landau gauge Faddeev-Popov operator in lattice gluodynamics
• Lattice gauge-fixing for generic covariant gauges
• Infrared finite ghost propagator in the Feynman gauge
• Infrared features of KS fermion and Wilson fermion in Lattice Landau Gauge QCD
• Numerical Study of the Fundamental Modular Region in the Minimal Landau Gauge
• Dynamically induced scalar quark confinement
• Gluon Propagator on Coarse Lattices in Laplacian Gauges
• Study of Critical Slowing-Down in $SU(2)$ Landau Gauge Fixing
• Effects of the quark field on the ghost propagator of Lattice Landau Gauge QCD
• Landau gauge ghost and gluon propagators and the Faddeev-Popov operator spectrum
• Lattice Gauge Fixing for Parameter Dependent Covariant Gauges
• Propagators, Running Coupling and Condensates in Lattice QCD
• Critical Slowing-Down in SU(2) Landau-Gauge-Fixing Algorithms at beta = infinity
• Gluon propagator and zero-momentum modes on the lattice

Cited by in corpus (12)

• Gauge bosons at zero and finite temperature
• Covariant gauge on the lattice: a new implementation
• On gluon and ghost propagators in linear covariant gauges
• Covariant gauges without Gribov ambiguities in Yang-Mills theories
• Influence of Gribov ambiguities in a class of nonlinear covariant gauges
• Non-perturbative treatment of the linear covariant gauges by taking into account the Gribov copies
• Two infrared Yang-Mills solutions in stochastic quantization and in an effective action formalism
• Faddeev-Popov Matrix in Linear Covariant Gauge: First Results
• Exploring new horizons of the Gribov problem in Yang-Mills theories
• Infrared scaling solutions beyond the Landau gauge: The maximally Abelian gauge and Abelian infrared dominance
• Two-dimensional gluon propagators in maximally Abelian gauge in SU(2) Lattice QCD
• On the infrared behaviour of QCD Green functions in the Maximally Abelian gauge