Lattice study of correlators of chromoelectric fields for heavy quarkonium dynamics in the quark-gluon plasma

TL;DR

This study uses lattice QCD techniques to compute chromoelectric field correlators relevant for understanding heavy quarkonium behavior and diffusion in the quark-gluon plasma at non-zero temperature.

Contribution

It introduces a lattice calculation of adjoint chromoelectric correlators with noise reduction and discusses their renormalization, revealing a Casimir scaling relation.

Findings

Casimir factor relates adjoint and fundamental correlators

Correlators computed using gradient flow and multi-level algorithms

Results inform heavy quark diffusion and quarkonium transitions in plasma

Abstract

We perform a lattice calculation of the correlators of two chromoelectric fields in the adjoint representation connected by adjoint Wilson lines at non-zero temperature. These correlators arise in the study of quarkonium dynamics and of adjoint heavy quark diffusion in deconfined matter. We work in SU(3) gauge theory using either gradient flow or multi-level algorithms for noise reduction, and discuss the renormalization of the correlators on the lattice. We find that a Casimir factor rescaling relates the adjoint correlators corresponding to the diffusion of an adjoint heavy quark and the octet-octet quarkonium transitions to the chromoelectric correlator in the fundamental representation describing the diffusion of a heavy quark.