Infrared Gluon Propagator from lattice QCD: results from large asymmetric lattices

TL;DR

This study investigates the infrared behavior of the gluon propagator in lattice QCD, finding results consistent with Dyson-Schwinger equations and suggesting a vanishing propagator at zero momentum.

Contribution

The paper provides lattice QCD results for the infrared gluon propagator using large asymmetric lattices, supporting a specific power-law behavior and estimating the critical exponent.

Findings

Lattice data aligns with a power-law $(q^2)^{2 \, \kappa}$ for the gluon propagator.

Estimated exponent $\, \kappa$ is around 0.52, indicating a vanishing zero-momentum propagator.

Results support Dyson-Schwinger equation predictions for infrared behavior.

Abstract

The infrared limit of the lattice Landau gauge gluon propagator is studied. We show that the lattice data is compatible with the pure power law $(q^2)^{2 \kappa}$ solution of the Dyson-Schwinger equations. Using various lattice volumes, the infinite volume limit for the exponent $\kappa$ is measured. Although, the results allow $\kappa = 0.498 - 0.525$, the lattice data favours $\kappa \sim 0.52$, which would imply a vanishing zero momentum gluon propagator.