Quantum evolution of quarkonia with correlated and uncorrelated noise

TL;DR

This paper investigates how correlated and uncorrelated noise influences the quantum evolution of quarkonia in quark-gluon plasma, extending previous models to include non-Abelian dynamics and finite correlation times.

Contribution

It introduces a non-Abelian three-dimensional model with finite-time correlated noise to better understand quarkonium evolution in QGP.

Findings

Results differ significantly from rate equation solutions.

Finite correlation in noise affects quarkonium dynamics.

Non-Abelian effects are crucial for accurate modeling.

Abstract

In the quark-gluon plasma (QGP), it is well known that the evolution of quarkonia is affected by the screening of the interaction between the quark and the anti-quark. In addition, exchange of energy and color with the surrounding medium can be included via the incorporation of noise terms in the evolution Hamiltonian. For noise correlated locally in time, these dynamics have been studied in a simple setting by Kajimoto et al.[PHYS. REV. D 97, 014003(2018)]. We extend this calculation by considering non-Abelian dynamics for a three-dimensional wavefunction. We also propose a modification of the noise correlation, allowing it to have a finite correlation in time with the motivation to include long-lived gluonic correlations. We find that in both cases the results differ significantly from solutions of rate equations.