Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices

TL;DR

This study investigates the behavior of gluon propagators in Coulomb gauge QCD using lattice simulations, revealing discretization effects and infrared features relevant to confinement.

Contribution

It provides a comparative analysis of gluon propagators on isotropic and anisotropic lattices, highlighting the advantages of anisotropic lattices for infrared studies.

Findings

Anisotropic lattices reduce discretization errors.

Infrared suppression and turnover of transverse gluon propagators.

Infrared enhancement of time-time gluon propagators consistent with confinement scenarios.

Abstract

We calculate the transverse and time-time components of the instantaneous gluon propagator in Coulomb gauge QCD by using an SU(3) quenched lattice simulation on isotropic and anisotropic lattices. We find that the gluon propagators suffer from strong discretization effects on the isotropic lattice; on the other hand, those on the anisotropic lattices give a better scaling. Moreover, on these two type of lattices the transverse parts are significantly suppressed in the infrared region and have a turnover at about 500 [MeV]. The high resolution to the temporal direction due to the anisotropy yields small discretization errors for the time-time gluon propagators, which also show an infrared enhancement as expected in the Gribov-Zwanziger confinement scenario.