Heavy quark momentum diffusion coefficient from the lattice

TL;DR

This paper presents progress in calculating the heavy quark momentum diffusion coefficient using lattice gauge theory, exploring its temperature dependence across a wide range in pure SU(3) gauge theory.

Contribution

It introduces a lattice computation method for the diffusion coefficient employing a multilevel algorithm and tree-level improvement, covering a broad temperature spectrum.

Findings

Diffusion coefficient behavior varies with temperature

Method improves accuracy of lattice calculations

Results span from near the deconfinement transition to very high temperatures

Abstract

We report progress towards computing the heavy quark momentum diffusion coefficient from the lattice correlator of two chromoelectric fields attached to a Polyakov loop in pure SU(3) gauge theory. Using a multilevel algorithm and tree-level improvement, we study the behavior of the diffusion coefficient as a function of temperature in the wide range $1.1 < T/Tc < 10^4$.