The Gluon Propagator without lattice Gribov copies on a finer lattice

TL;DR

This paper investigates the gluon propagator in quenched lattice QCD using the Laplacian gauge on finer lattices, confirming a pole mass around 600 MeV and consistent zero-momentum propagator values across lattice spacings.

Contribution

It extends previous lattice QCD studies of the gluon propagator to finer lattices and confirms the existence of a gluon pole mass in the continuum limit.

Findings

Pole mass of approximately 600 MeV with uncertainties

Finite zero-momentum propagator value consistent across lattice spacings

Validation of gluon propagator behavior on finer lattices

Abstract

We extend our study of the gluon propagator in quenched lattice QCD using the Laplacian gauge to a finer lattice. We verify the existence of a pole mass as we take the continuum limit and deduce a value of $\sim 600^{+150}_{-30}$ MeV for this pole mass. We find a finite value of $(454(5){\rm MeV})^{-2}$ for the renormalized zero-momentum propagator, in agreement with results on coarser lattices.