From Complex to Stochastic Potential: Heavy Quarkonia in the Quark-Gluon Plasma

Abstract

The in-medium physics of heavy quarkonium is an ideal proving ground for our ability to connect knowledge about the fundamental laws of physics to phenomenological predictions. One possible route to take is to attempt a description of heavy quark bound states at finite temperature through a Schroedinger equation with an instantaneous potential. Here we review recent progress in devising a comprehensive approach to define such a potential from first principles QCD and extract its, in general complex, values from non-perturbative lattice QCD simulations. Based on the theory of open quantum systems we will show how to interpret the role of the imaginary part in terms of spatial decoherence by introducing the concept of a stochastic potential. Shortcomings as well as possible paths for improvement are discussed.

17 pages 4 figures, brief review t.b.p. in Modern Physics Letters A

References in corpus (6)

• J/psi Production vs Centrality, Transverse Momentum, and Rapidity in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Static quark-antiquark pairs at finite temperature
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Quarkonium correlators and spectral functions at zero and finite temperature
• Charmonium at high temperature in two-flavor QCD
• Dynamical evolution of heavy quarkonia in a deconfined medium

Cited by in corpus (4)

• Bottomonium suppression and elliptic flow from real-time quantum evolution
• Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics
• The Bayesian reconstruction of the in-medium heavy quark potential from lattice QCD and its stability
• A `Third' Quantization Constructed for Gauge Theory of Gravity