IR suppression of the Coulomb gauge gluon propagator in SU(3) Yang-Mills theory

TL;DR

This study uses lattice QCD simulations to analyze the equal-time transverse gluon propagator in Coulomb gauge, revealing infrared suppression and potential gluon confinement.

Contribution

It provides the first detailed lattice calculation of the SU(3) Coulomb gauge gluon propagator on large lattices, highlighting scaling violations and infrared suppression.

Findings

Gluon propagator shows scaling violation across lattice spacings.

Infrared suppression indicates potential gluon confinement.

Gluon propagator vanishes at zero momentum, supporting confinement hypothesis.

Abstract

We calculate the equal-time transverse gluon propagator in Coulomb gauge QCD using a SU(3) quenched lattice gauge simulation on large lattices, up to 11 [fm$^4$]. We find that the equal-time gluon propagator shows scaling violation; namely, the data for different lattice spacings do not fall on top of one curve. This problem is cured by discarding data at large momenta, which suffer from discretization errors. In the infrared region, the transverse gluon propagator is strongly suppressed and shows a turnover at about 500 [MeV]. Fitting the power law ansatz to the data at small momenta predicts the vanishing gluon propagator at zero momentum, indicating the confinement of gluons.