Gluon Propagator on Coarse Lattices in Laplacian Gauges

TL;DR

This study investigates the infrared behavior of the lattice gluon propagator in Laplacian gauge, demonstrating its reduced sensitivity to finite volume effects across various lattice spacings and implementations.

Contribution

It provides a detailed analysis of the gluon propagator in Laplacian gauge, comparing multiple implementations and assessing finite volume and discretization effects.

Findings

Laplacian gauge propagator shows reduced finite volume dependence.

Comparison of three Laplacian gauge implementations.

Infrared behavior consistent across different lattice spacings.

Abstract

The Laplacian gauge is a nonperturbative gauge fixing that reduces to Landau gauge in the asymptotic limit. Like 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 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.