Heavy quark diffusion coefficient with gradient flow

TL;DR

This paper investigates the heavy quark diffusion coefficient in SU(3) gauge theory at different temperatures using gradient flow, providing insights into mass effects on diffusion at high temperatures.

Contribution

The study introduces the use of gradient flow to extract the heavy quark diffusion coefficient from spectral functions at two temperatures, including continuum and zero flow limits.

Findings

Mass effects are 20% for bottom quarks at 1.5T_c.

Mass effects are 34% for charm quarks at 1.5T_c.

Results are obtained at two distinct temperatures, enhancing understanding of deconfined phase dynamics.

Abstract

The heavy quark diffusion coefficient is encoded in the spectral functions of the chromo-electric and the chromo-magnetic correlators, of which the latter describes the T/M contribution. We study these correlators at two different temperatures $T=1.5T_c$ and $T=10^4T_c$ in the deconfined phase of SU(3) gauge theory. We use gradient flow for noise reduction. We perform both continuum and zero flow time limits to extract the heavy quark diffusion coefficient. Our results imply that the mass suppressed effects in the heavy quark diffusion coefficient are 20% for bottom quarks and 34% for charm quark at $T=1.5T_c$.