Gluon Propagators in 3D SU(2) Theory and Effects of Gribov Copies

Abstract

Infrared behavior of the Landau gauge gluon propagators is studied numerically in the 3d SU(2) gauge theory on the lattice. A special accent is made on the study of Gribov copy effect. For this study we employ an efficient gauge-fixing algorithm and a large number of gauge copies (up to 280 copies per configuration). It is shown that, in the deep infrared region, the Gribov copy effects are very significant. Also we show that, in the infinite-volume limit, the zero-momentum value of the propagator does not vanish.

7 pages, 5 figures; journal version

References in corpus (10)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD
• Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory

Cited by in corpus (13)

• Correlation functions of Landau gauge Yang-Mills theory
• Correlation functions of three-dimensional Yang-Mills theory from the FRG
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• Enumerating Gribov copies on the lattice
• The (IR-)relevance of the Gribov ambiguity in SU(2) x U(1) gauge theories with fundamental Higgs matter
• Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and Application to the Standard Model
• Infinite volume and continuum limits for gluon propagator in 3d SU(2) lattice gauge theory
• Enumerating Copies in the First Gribov Region on the Lattice in up to four Dimensions
• Thermodynamics of an exactly solvable confining quark model
• On Composite fields approach to Gribov copies elimination in Yang-Mills theories
• Gauge dependence of vacuum expectation values of gauge invariant operators from soft breaking of BRST symmetry. Example of Gribov-Zwanziger action
• The $A^2$ asymmetry and propagators in lattice $SU(2)$ gluodynamics at $T>T_c$
• Gribov copies in the quark propagator