Adjoint chromoelectric correlators for heavy quarkonium diffusion

TL;DR

This paper measures adjoint chromoelectric correlators at finite temperature to understand quarkonium diffusion in the quark-gluon plasma, using lattice gauge theory and gradient flow techniques.

Contribution

First measurement of adjoint chromoelectric correlators at finite temperature, providing insights into quarkonium diffusion in QGP with improved lattice methods.

Findings

Correlators at high temperature match perturbative predictions

Multiplicative scaling observed between adjoint and fundamental correlators

Continuum limit and zero-flow-time extrapolations successfully performed

Abstract

We here measure, for the first time, adjoint chromoelectric correlators at finite temperatures that encode the diffusion of quarkonium in the medium. Understanding the dynamics of quarkonium in the QGP plays an essential role in understanding quarkonium suppression and the QGP in general. We perform SU(3) gauge theory calculations and use gradient flow to improve the signal-to-noise ratio and chromoelectric field discretizations. The continuum limit and the zero-flow-time extrapolation are performed, and the final result is compared with perturbative results. We observe that the correlators at a high temperature are well described by the perturbative form; furthermore, we observe multiplicative scaling of the adjoint correlators with respect to the fundamental correlator describing heavy quark diffusion.