https://doi.org/10.1140/epjc/s10052-020-08704-2
Regular Article – Theoretical Physics
Impact of off-shell dynamics on the transport properties and the dynamical evolution of charm quarks at RHIC and LHC temperatures
1
Department of Physics and Astronomy ‘E. Majorana’, University of Catania, Via S. Sofia 64, 95125, Catania, Italy
2
Laboratori Nazionali del Sud, INFN-LNS, Via S. Sofia 62, 95123, Catania, Italy
b
salvatore.plumari@dfa.unict.it
Received:
8
June
2020
Accepted:
24
November
2020
Published online:
11
December
2020
We evaluate drag and diffusion transport coefficients comparing a quasi-particle approximation with on-shell constituents of the QGP medium and a dynamical quasi-particles model with off-shell bulk medium at finite temperature T. We study the effects of the width 
of the particles of the bulk medium on the charm quark transport properties exploring the range where 
. We find that off-shell effects are in general quite moderate and can induce a reduction of the drag coefficient at low momenta that disappear already at moderate momenta, 
2–3 GeV. We also observe a moderate reduction of the breaking of the fluctuation–dissipation theorem (FDT) at finite momenta. Moreover, we have performed a first study of the dynamical evolution of HQ elastic energy loss in a bulk medium at fixed temperature extending the Boltzmann (BM) collision integral to include off-shell dynamics. A comparison among the Langevin dynamics, the BM collisional integral with on-shell and the BM extension to off-shell dynamics shows that the evolution of charm energy when off-shell effects are included remain quite similar to the case of the on-shell BM collision integral.
© The Author(s) 2020
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