Infinite volume and continuum limits for gluon propagator in 3d SU(2) lattice gauge theory

Abstract

We study the Landau gauge gluon propagator D(p) in the 3d SU(2) lattice gauge theory. We show that in the infinite-volume limit the expectation values over the Gribov region Ω, are different (in the infrared) from that calculated in the fundamental modular region Γ. Also we show that this conclusion does not change when spacing $a$ tends to zero.

7 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1112.4975

References in corpus (8)

• 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
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• 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
• Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
• Enumerating Gribov copies on the lattice

Cited by in corpus (13)

• Correlation functions of Landau gauge Yang-Mills theory
• Correlation functions of three-dimensional Yang-Mills theory from the FRG
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• On non-primitively divergent vertices of Yang-Mills theory
• Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions
• Some more details of minimal-Landau-gauge Yang-Mills propagators
• The (IR-)relevance of the Gribov ambiguity in SU(2) x U(1) gauge theories with fundamental Higgs matter
• On bounds and boundary conditions in the continuum Landau gauge
• Constraining the gauge-fixed Lagrangian in minimal Landau gauge
• Accessing the topological susceptibility via the Gribov horizon
• Exploring dynamical gluon mass generation in three dimensions
• The $A^2$ asymmetry and propagators in lattice $SU(2)$ gluodynamics at $T>T_c$