The Landau gauge gluon propagator at zero and finite temperature: accounting for the combined finite lattice spacing and finite volume effects

TL;DR

This paper investigates how finite lattice spacing and volume effects influence the infrared gluon propagator in lattice QCD, providing extrapolations to infinite volume and preliminary finite temperature results.

Contribution

It addresses the combined impact of finite lattice spacing and volume on the gluon propagator and offers extrapolations to infinite volume, including preliminary finite temperature findings.

Findings

Finite volume and lattice spacing effects significantly alter the infrared gluon propagator.

Provided extrapolations to infinite volume considering both effects.

Preliminary results on the gluon propagator at finite temperature.

Abstract

In the past years a good comprehension of the infrared gluon propagator has been achieved, with a good qualitative agreement between lattice results and Dyson-Schwinger equations. However, lattice simulations have been performed at physical volumes which are close to 20 fm but using a large lattice spacing. The interplay between volume effects and lattice spacing effects has not been investigated. Here we aim to fill this gap and address how the two effects change the gluon propagator in the infrared region. Furthermore, we provide infinite volume extrapolations which take into account the finite volume and finite lattice spacing. We also report on preliminary results for the gluon propagator at finite temperature.