Real-time quantum dynamics of heavy quark systems at high temperature

Abstract

On the basis of the closed-time path formalism of non-equilibrium quantum field theory, we derive the real-time quantum dynamics of heavy quark systems. Even though our primary goal is the description of heavy quarkonia, our method allows a unified description of the propagation of single heavy quarks as well as their bound states. To make calculations tractable, we deploy leading-order perturbation theory and consider the non-relativistic limit. Various dynamical equations, such as the master equation for quantum Brownian motion and time-evolution equation for heavy quark and quarkonium forward correlators, are obtained from a single operator, the renormalized effective Hamiltonian. We are thus able to reproduce previous results of perturbative calculations of the drag force and the complex potential simultaneously. In addition, we present stochastic time-evolution equations for heavy quark and quarkonium wave function, which are equivalent to the dynamical equations.

33 pages, 1 figure. Accepted in Physical Review D

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• Quantum and Classical Dynamics of Heavy Quarks in a Quark-Gluon Plasma
• Heavy quark bound states in a quark-gluon plasma: dissociation and recombination
• Heavy-flavor production and medium properties in high-energy nuclear collisions - What next?
• Open Quantum Systems for Quarkonia
• Heavy Quarkonium moving in a Quark-Gluon Plasma
• Non-Abelian Electric Field Correlator at NLO for Dark Matter Relic Abundance and Quarkonium Transport
• Time-dependent heavy-quark potential at finite temperature from gauge-gravity duality
• Quantum evolution of quarkonia with correlated and uncorrelated noise
• Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature
• 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
• Anisotropic escape mechanism and elliptic flow of bottomonia
• Massive vector current correlator in thermal QCD
• Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics
• Heavy quarkonium suppression beyond the adiabatic limit
• QTRAJ 1.0: A Lindblad equation solver for heavy-quarkonium dynamics
• Quarkonium propagation in the quark gluon plasma
• Heavy Quark Momentum Broadening in a Non-Abelian Plasma away from Thermal Equilibrium
• From Complex to Stochastic Potential: Heavy Quarkonia in the Quark-Gluon Plasma
• Chromoelectric field correlator for quarkonium transport in the strongly coupled $\mathcal{N}=4$ Yang-Mills plasma from AdS/CFT
• Medium evolution of a static quark-antiquark pair in the large $N_c$ limit
• Schwinger-Keldysh effective action for relativistic Brownian particle in AdS-CFT
• Interaction potential between heavy $Q\bar{Q}$ in color octet configuration in QGP
• Quarkonium dynamics in the quantum Brownian regime with non-abelian quantum master equations
• Proper static potential in classical lattice gauge theory at finite T
• Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator
• Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories
• The imaginary part of the heavy-quark potential from real-time Yang-Mills dynamics
• Quarkonia at finite temperature in relativistic heavy ion collisions
• Quarkonium production and suppression: Theory
• Heavy Quark and Quarkonium Transport in High Energy Nuclear Collisions
• The Bayesian reconstruction of the in-medium heavy quark potential from lattice QCD and its stability
• Non-Markovian dynamics of bottomonia in the QGP
• Quarkonium Production in the QGP