In medium Langevin dynamics of heavy quarkonium

Abstract

Heavy quarks and their bound states are ideal probes of the quark gluon plasma formed in relativistic heavy ion collisions. Due to the hierarchy of scales of the system, the in-medium dynamics of heavy quarkonium can be modeled by a Langevin equation in which uncorrelated interactions with the medium alter the momentum of the bound state. The hierarchy of scales makes the problem ideally suited for the use of effective field theories, namely potential nonrelativistic QCD, and the formalism of open quantum systems. We utilize these tools to perform a first principles treatment of heavy quarkonium in medium and analyze the regimes in which the dynamics take the form of a Langevin equation.

In medium dynamics of heavy particles

“…( 11) on firmer EFT footing, and present a detailed and unified derivation of the single heavy quark Langevin equation presented in this work and the heavy quarkonium Langevin equation presented in Ref. [14].…”