Continuum extrapolation of the gradient-flowed color-magnetic correlator at $1.5\,T_c$

TL;DR

This paper advances the calculation of the color-magnetic correlator at finite temperature using lattice gradient flow, providing insights into heavy quark transport properties and finite mass effects.

Contribution

It reports the first continuum extrapolation of the gradient-flowed color-magnetic correlator at $1.5 T_c$, extending previous work on the electric correlator to include finite mass corrections.

Findings

Progress in calculating the color-magnetic correlator at $1.5 T_c$

Continuum extrapolation of the correlator achieved

Provides data relevant for heavy quark diffusion studies

Abstract

In a recently published work we employ gradient flow on the lattice to extract the leading contribution of the heavy quark momentum diffusion coefficient in the heavy quark limit from calculations of a well-known two-point function of color-electric field operators. In this article we want to report the progress of calculating the recently derived color-magnetic correlator that encodes a finite mass correction to this transport coefficient. The calculations we present here are based on the same ensemble of quenched gauge configurations at $1.5\, T_c$ that we previously used for the color-electric correlator.