The Energy Loss of a Heavy Quark Moving in a Viscous Fluid

Abstract

To study the rate of energy and momentum loss of a heavy quark in QGP, specifically in the hydrodynamic regime, we use fluid/gravity duality and construct a perturbative procedure to find the string solution in gravity side. We show that by this construction the drag force exerted on the quark can be computed perturbatively, order by order in a boundary derivative expansion. At ideal order, our result is just the drag force exerted on a moving quark in thermal plasma with thermodynamics variables promoted to become local functions of space and time. Furthermore, we apply this procedure to a transverse quark in Bjorken flow and compute the first-derivative corrections, namely the viscous corrections, to the drag force.

33 pages, 6 figures, references added v5: Some corrections

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Cited by in corpus (10)

• Energy loss in a strongly coupled anisotropic plasma
• Heavy quark energy loss far from equilibrium in a strongly coupled collision
• Effects of Fluid Velocity Gradients on Heavy Quark Energy Loss
• Energy Loss Versus Energy Gain of Heavy Quarks in a Hot Medium
• Schwinger-Keldysh effective action for relativistic Brownian particle in AdS-CFT
• Nonconformal holographic model for D-meson suppression at energies available at the CERN Large Hadron Collider
• The Energy Loss of a Heavy Quark Moving Through a General Fluid Dynamical Flow
• Hydrodynamic Excitations from Chiral Kinetic Theory and the Hydrodynamic Frames
• Quantum fluctuations and thermal dissipation in higher derivative gravity
• Evaporation/Hadronization Correspondence