The Energy Loss of a Heavy Quark Moving Through a General Fluid Dynamical Flow

Abstract

We determine the most general form of the covariant drag force exerted on a quark moving through a fluid dynamical flow. Up to first order in derivative expansion, our general formula requires the specification of seven coefficient functions. We use the perturbative method introduced in arXiv:1202.2737 and find all these coefficients in the hydrodynamic regime of a $\mathcal{N}=4$ SYM plasma. Having this general formula, we can obtain the rate of the energy and momentum loss of a quark, namely the drag force, in a general flow. This result makes it possible to perturbatively study the motion of heavy quarks moving through the Bjorken flow up to first order in derivative expansion.

28 pages, v2: typos corrected, v3: Note added + Some corrections in the expression of F^y

References in corpus (6)

• Nonlinear Fluid Dynamics from Gravity
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Local Fluid Dynamical Entropy from Gravity
• Forced Fluid Dynamics from Gravity
• Testing AdS/CFT Deviations from pQCD Heavy Quark Energy Loss with Pb+Pb at LHC
• The Energy Loss of a Heavy Quark Moving in a Viscous Fluid

Cited by in corpus (7)

• 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
• Hydrodynamic Excitations from Chiral Kinetic Theory and the Hydrodynamic Frames
• Quantum fluctuations and thermal dissipation in higher derivative gravity
• Drag force on a moving heavy quark with deformed string configuration
• Collective excitations in the hot QCD medium and the propagation of Heavy Quarks