Lattice study of correlators for quarkonium decay

TL;DR

This paper presents preliminary lattice QCD results on the color electric field correlator relevant for understanding quarkonium decay in quark-gluon plasma, highlighting differences from heavy quark diffusion correlators.

Contribution

It provides the first lattice study of the color electric field correlator specifically for quarkonium decay in QGP, offering insights into nonperturbative effects.

Findings

Preliminary lattice results on the correlator structure

Differences identified between quarkonium decay and heavy quark diffusion correlators

Discussion on the implications for quarkonium decay mechanisms

Abstract

While there has been a lot of progress in developing a formalism for the study of quarkonia in QGP, a nonperturbative study is still difficult. For bottomonia, where the system size is much less than the inverse temperature, the interaction of the system with the medium can be approximated by a dipole interaction with the color electric field. The decay of the quarkonia can be connected to a correlation function of the color electric field. We present preliminary results from a lattice study of the relevant color electric field correlator. The structure of the correlator, and its difference from the corresponding correlator studied for heavy quark diffusion, is discussed.