Euclidean correlation functions of the topological charge density

TL;DR

This paper investigates the Euclidean topological charge density correlation function using gradient flow on quenched lattices, aiming to extrapolate to the continuum and determine the sphaleron rate in SU(3) plasma.

Contribution

It introduces a method to improve the signal of the topological charge density correlation function and explores its flow-time dependence for continuum extrapolation.

Findings

Gradient flow enhances the correlation function signal.

Flow-time dependence studied on fine lattices.

Preparation for continuum extrapolation of the sphaleron rate.

Abstract

We present first results of our study on the Euclidean topological charge density correlation function. In order to get a well defined topological charge density and to improve the signal of the correlation function at large separations we make use of the gradient flow. We investigate the flow-time dependence on fine quenched lattices. The final goal of this study is to perform a continuum extrapolation for the pure SU(3) plasma and to extract the related transport coefficient, the sphaleron rate.