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.

arXiv comment17 pages 4 figures, brief review t.b.p. in Modern Physics Letters A

References in corpus (34)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Concepts and methods in the theory of open quantum systems
• Potential NRQCD: an effective theory for heavy quarkonium
• Effective field theories for heavy quarkonium
• Disappearance of back-to-back high $p_T$ hadron correlations in central Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV
• Maximum Entropy Analysis of the Spectral Functions in Lattice QCD
• J/psi Production vs Centrality, Transverse Momentum, and Rapidity in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• $J/\psi$ and ${\eta }_c$ in the Deconfined Plasma from Lattice QCD
• Static quark-antiquark pairs at finite temperature
• Behavior of Charmonium Systems after Deconfinement
• Modifications to Di-Jet Hadron Pair Correlations in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Colour Deconfinement and Quarkonium Binding
• J/$\psi$ suppression at forward rapidity in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Complex Heavy-Quark Potential at Finite Temperature from Lattice QCD
• Suppression of Upsilon excited states in PbPb collisions at a nucleon-nucleon centre-of-mass energy of 2.76 TeV
• Quarkonium correlators and spectral functions at zero and finite temperature
• Charmonium at high temperature in two-flavor QCD
• Charmonium at finite temperature in quenched lattice QCD
• Hadronic Spectral Functions in Lattice QCD
• Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma
• Systematic Studies of Elliptic Flow Measurements in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Disentangling the timescales behind the non-perturbative heavy quark potential
• Dimensionally regularized Polyakov loop correlators in hot QCD
• Heavy quarkonia in a medium as a quantum dissipative system: Master-equation approach
• Real-time quantum dynamics of heavy quark systems at high temperature
• Improved Maximum Entropy Analysis with an Extended Search Space
• Charmonium spectral functions with the variational method in zero and finite temperature lattice QCD
• Time-dependent heavy-quark potential at finite temperature from gauge-gravity duality
• Directed Flow of Identified Particles in Au + Au Collisions at $\sqrtsNN = 200$ GeV at RHIC
• J/psi production and correlation in p+p and Au+Au collisions at STAR
• A path integral for heavy-quarks in a hot plasma
• Dynamical evolution of heavy quarkonia in a deconfined medium

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• Bottomonium suppression and elliptic flow from real-time quantum evolution
• A first look at Bottomonium melting via a stochastic potential
• Fate of in-medium heavy quarks via a Lindblad equation
• Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics
• Sequential bottomonium production at high temperatures
• 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