Quantum and classical dynamics of heavy quarks in a quark-gluon plasma

Blaizot, Jean‐Paul; Escobedo, Miguel Ángel

doi:10.1007/jhep06(2018)034

Cited by 110 publications

(105 citation statements)

References 43 publications

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“…In the same line, equations for the time evolution of the heavy-quark reduced-density matrix in a non-Abelian QGP are presented in [33,34]. The relative motion of the heavy quarks is treated semi-classically and the colour transitions are take into account within 2 strategies: instantaneously, through perturbation theory, leading to a Langevin equation, analogous to QED [35]; or as collisions, leading to a Botzman equation.…”

Section: Open Quantum Systemsmentioning

confidence: 99%

Quarkonium: a theory overview

Ferreiro

2019

Nuclear Physics A

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Quarkonium has long been proposed as one of the golden probes to identify the phase transition from confined hadronic matter to the deconfined quark-gluon plasma in heavy-ion collisions. Since then, we have achieved a better understanding, not only about the propagation of quarkonium in-medium, but also about its production. Recent theoretical developments in our comprehension of the quarkonium production mechanism in proton-proton collisions and on the propagation of quarkonia in proton-nucleus and nucleus-nucleus collisions are reviewed and discussed.

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Section: Open Quantum Systemsmentioning

confidence: 99%

Quarkonium: a theory overview

Ferreiro

2019

Nuclear Physics A

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“…It is important to keep in mind that when we solve a Schrödinger equation with this potential, the resulting correlation function can be used to straightforwardly compute the in-medium quarkonium spectral function. The question of how to relate this complex-valued potential to the real-time evolution of the wavefunction is an active field of research, and recent progress has been made by considering the concept of open-quantum-systems [20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Improved Gauss law model and in-medium heavy quarkonium at finite density and velocity

Lafferty

Rothkopf

2020

Phys. Rev. D

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We explore the in-medium properties of heavy-quarkonium states at finite baryo-chemical potential and finite transverse momentum based on a modern complex valued potential model. Our starting point is a novel, rigorous derivation of the generalized Gauss law for in-medium quarkonium, combining the non-perturbative physics of the vacuum bound state with a weak coupling description of the medium degrees of freedom. Its relation to previous models in the literature is discussed. We show that our approach is able to reproduce the complex lattice QCD heavy quark potential even in the non-perturbative regime, using a single temperature dependent parameter, the Debye mass m D . After vetting the Gauss law potential with state-of-the-art lattice QCD data, we extend it to the regime of finite baryon density and finite velocity, currently inaccessible to first principles simulations. In-medium spectral functions computed from the Gauss law potential are subsequently used to estimate the ψ /J/ψ ratio in heavy-ion collisions at different beam energies and transverse momenta. We find qualitative agreement with the predictions from the statistical model of hadronization for the √ s N N dependence and a mild dependence on the transverse momentum.

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“…[44] to treat open quantum systems. In general, one should use the trace-and positivity-preserving Lindblad form [20][21][22][23][24][25][26][27][28][29] for the evolution of the…”

Section: Discussionmentioning

confidence: 99%

Heavy quarkonium suppression beyond the adiabatic limit

et al. 2019

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Many prior studies of in-medium quarkonium suppression have implicitly made use of an adiabatic approximation in which it was assumed that the heavy quark potential is a slowly varying function of time. In the adiabatic limit, one can separately determine the in-medium breakup rate and the medium time evolution, folding these together only at the end of the calculation. In this paper, we relax this assumption by solving the 3d Schrödinger equation in real-time in order to compute quarkonium suppression dynamically. We compare results obtained using the adiabatic approximation with real-time calculations for both harmonic oscillator and realistic complex heavy quark potentials. Using the latter, we find that, for the Υ(1s), the difference between the adiabatic approximation and full real-time evolution is at the few percent level, however, for the Υ(2s), we find that the correction can be as large as 18% in low temperature regions. For the J/Ψ, we find a larger difference between the dynamical evolution and the adiabatic approximation, with the error reaching approximately 36%.

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Quantum and classical dynamics of heavy quarks in a quark-gluon plasma

Cited by 110 publications

References 43 publications

Quarkonium: a theory overview

Quarkonium: a theory overview

Improved Gauss law model and in-medium heavy quarkonium at finite density and velocity

Heavy quarkonium suppression beyond the adiabatic limit

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