Adjoint chromoelectric and -magnetic correlators with gradient flow

TL;DR

This paper investigates the use of gradient flow to reduce divergences in chromoelectric and -magnetic correlators in lattice QCD, aiding the study of quarkonium properties at finite temperature.

Contribution

It demonstrates how gradient flow can effectively reduce divergences in gluonic correlators, improving their utility in quarkonium physics analysis.

Findings

Gradient flow reduces divergence in chromoelectric and -magnetic correlators.

Improved correlator measurements facilitate better understanding of quarkonium diffusion.

Method enhances lattice QCD calculations for quarkonium studies.

Abstract

When QCD is described by a nonrelativistic effective field theory, operators consisting of gluonic correlators of two chromoelectric or -magnetic fields will often appear in descriptions of quarkonium physics. At zero T, these correlators give the masses of gluelumps and the moments of these correlators can be used to understand the inclusive P-wave decay of quarkonium. At finite T these correlators define the diffusion of the heavy quarkonium. However, these correlators come with a divergent term in lattice spacing which needs to be taken care of. We inspect these correlators in pure gauge theory with gradient flow smearing, which should allow us to reduce and remove the divergence more carefully. In these proceedings, we focus on the effect of gradient flow to these correlators and the reduction of this divergence.