Gluon propagator on coarse lattices in Laplacian gauges

2002/06/21 by Patrick O. Bowman, P. O. Bowman, U. M. Heller +5 · 6 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1103/physrevd.66.074505

published as Phys.Rev.D66:074505,2002 · RevTex 4.0, 14 pages, 9 colour figures; Correction to References

arxiv created 2002/06/21 · openalex publication_date 2002/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The Laplacian gauge is a nonperturbative gauge fixing that reduces to the Landau gauge in the asymptotic limit. Like the Landau gauge, it respects Lorentz invariance, but it is free of Gribov copies; the gauge fixing is unambiguous. In this paper we study the infrared behavior of the lattice gluon propagator in the Laplacian gauge by using a variety of lattices with spacings from a=0.125 to 0.35 fm, to explore finite volume and discretization effects. Three different implementations of the Laplacian gauge are defined and compared. The Laplacian gauge propagator has already been claimed to be insensitive to finite volume effects and this is tested on lattices with large volumes.

Citations

• Quantization of non-Abelian gauge theories
• Evolutionary algorithms applied to Landau-gauge fixing
• Infinite volume and continuum limits of the Landau-gauge gluon propagator

Cited by

• Quark propagator in Landau and Laplacian gauges with overlap fermions
• Unquenched gluon propagator in Landau gauge
• Quark-gluon vertex with an off-shellO(a)-improved chiral fermion action
• A determination of Aμ2 and the non-perturbative vacuum energy of Yang–Mills theory in the Landau gauge
• Analysis of a quenched lattice-QCD dressed-quark propagator
• Dyson-Schwinger equations: An instrument for hadron physics