The lattice gluon propagator in Landau gauge at zero and finite temperature

TL;DR

This study uses lattice QCD simulations to analyze how finite lattice spacing and volume affect the Landau gauge gluon propagator at zero and finite temperatures, revealing that lattice spacing significantly influences infrared behavior.

Contribution

It provides a detailed comparison of lattice spacing and volume effects on the gluon propagator, highlighting the dominant role of lattice spacing in the infrared region.

Findings

Decreasing lattice spacing enhances the infrared gluon propagator.

Finite lattice spacing effects dominate over finite volume effects in the infrared.

Results at finite temperature extend understanding of gluon behavior beyond zero temperature.

Abstract

The interplay between the finite volume and finite lattice spacing is investigated using lattice QCD simulations to compute the Landau gauge gluon propagator at zero temperature. Comparing several ensembles with different lattice spacings and physical volumes, we conclude that the dominant effects, in the infrared region, are associated with the use of a finite lattice spacing. The simulations show that decreasing the lattice spacing, while keeping the same physical volume, leads to an enhancement of the infrared gluon propagator. Moreover, we also present results for the Landau gauge gluon propagator at finite temperature.