Studying the infrared behaviour of gluon and ghost propagators using large asymmetric lattices

TL;DR

This paper investigates the infrared behavior of gluon and ghost propagators in lattice QCD using large asymmetric lattices, measuring the infrared exponent and examining compatibility with Dyson-Schwinger solutions.

Contribution

It provides new lattice data on the infrared limit of gluon and ghost propagators and measures the infrared exponent, testing Dyson-Schwinger equation predictions.

Findings

Measured the infrared exponent κ of the gluon propagator.

Analyzed the compatibility of lattice results with Dyson-Schwinger power law solutions.

Presented results for ghost propagator and running coupling constant.

Abstract

We report on the infrared limit of the quenched lattice Landau gauge gluon propagator computed from large asymmetric lattices. In particular, the compatibility of the pure power law infrared solution $(q^2)^{2\kappa}$ of the Dyson-Schwinger equations is investigated and the exponent $\kappa$ is measured. Some results for the ghost propagator and for the running coupling constant will also be shown.