Lattice Gluon Propagator in the Landau Gauge: A Study Using Anisotropic Lattices

TL;DR

This study investigates the behavior of the lattice gluon propagator in Landau gauge using anisotropic lattices and improved actions, finding evidence for a finite propagator at zero momentum.

Contribution

It introduces a detailed analysis of the gluon propagator on anisotropic lattices with improved actions, providing new insights into its behavior at low momenta.

Findings

Gluon propagator is compatible with being finite at zero momentum.

The Landau gauge dressing function follows a power law with an exponent $er$ at small momenta.

Results are consistent across different fitting models.

Abstract

Lattice gluon propagators are studied using tadpole and Symanzik improved gauge action in Landau gauge. The study is performed using anisotropic lattices with asymmetric volumes. The Landau gauge dressing function for the gluon propagator measured on the lattice is fitted according to a leading power behavior: $Z(q^2)\simeq (q^2)^{2\kappa}$ with an exponent $\kappa$ at small momenta. The gluon propagators are also fitted using other models and the results are compared. Our result is compatible with a finite gluon propagator at zero momentum in Landau gauge.