Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories

TL;DR

This paper investigates the decoherence and symmetry properties of quarkonia in high-temperature SU(Nc) gauge theories, revealing a novel symmetry in the Nc=2 case and exploring implications for quarkonium survival in heavy-ion collisions.

Contribution

It introduces a new 'event-by-event' symmetry in SU(2) gauge theories affecting quarkonium dynamics and demonstrates the potential of complex potential simulations for quarkonium survival analysis.

Findings

Discovery of a novel symmetry in SU(2) quarkonia decoherence.

Numerical simulation results indicating the relevance of complex potentials.

Insights into quarkonium behavior in high-temperature deconfined phases.

Abstract

Decoherence dynamics of quarkonia is studied in the high-temperature deconfined phase of SU($N_c$) gauge theories. In particular, we analyze the symmetry properties of SU($N_c$) stochastic potential model and find a novel "event-by-event" symmetry for $N_c=2$ case, similar to the $G$-parity of hadronic systems. This novel symmetry constrains the relation between diagonal and off-diagonal components of quarkonium density matrix, leaving the latter to be finite at late times. We also present one-dimensional numerical simulation of the model, which indicates the usefulness of the complex potential simulations for the quarkonium survival probabilities in relativistic heavy-ion collisions, provided that the effect of dissipation can be neglected.