Quantum and Classical Dynamics of Heavy Quarks in a Quark-Gluon Plasma

Abstract
Heavy quarkonium related observables are very useful to obtain information about the medium created in relativistic heavy ion collisions. In recent years the theoretical description of quarkonium in a medium has moved towards a more dynamical picture in which decay and recombination processes are very important. In this talk we will discuss the equations that describe the evolution of the heavy quark reduced density matrix in different approximations, highlighting the color dynamics that is absent in the Abelian case, and we will study their semi-classical limit. This will allow us to obtain stochastic equations (similar to Langevin or Boltzmann equations) that can be useful to obtain phenomenological predictions. We will observe that the region of validity of the Langevin-like or Boltzmann-like equations in QCD is much smaller than the corresponding QED case. The reason for this can be understood by studying how differently the free energy evolves in these two theories, and this observation will allow us to propose an equation with a small computational cost that captures many of the essential features of quarkonium evolution in a QCD plasma. These results are based on [J.-P. Blaizot, M. A. Escobedo, Quantum and classical dynamics of heavy quarks in a quark-gluon plasma, JHEP 06 (2018) 034. arXiv:1711.10812, doi:10.1007/JHEP06(2018)034; J.-P. Blaizot, M. A. Escobedo, The approach to equilibrium of a quarkonium in a quark-gluon plasma. arXiv:1803.07996].
Main Authors
Format
Articles Research article
Published
2019
Series
Subjects
Publication in research information system
Publisher
Elsevier BV
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201901231293Use this for linking
Review status
Peer reviewed
ISSN
0375-9474
DOI
https://doi.org/10.1016/j.nuclphysa.2018.10.025
Language
English
Published in
Nuclear Physics A
Citation
License
CC BY-NC-ND 4.0Open Access
Funder(s)
Research Council of Finland
Research Council of Finland
Funding program(s)
Akatemiahanke, SA
Akatemiatutkijan tutkimuskulut, SA
Academy Project, AoF
Research costs of Academy Research Fellow, AoF
Research Council of Finland
Additional information about funding
The work of M. A. E has been funded by Academy of Finland projects 297058 and 303756.
Copyright© 2018 Published by Elsevier B.V.

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