Effects of Fluid Velocity Gradients on Heavy Quark Energy Loss

Abstract

We use holographic duality to analyze the drag force on, and consequent energy loss of, a heavy quark moving through a strongly coupled conformal fluid with non-vanishing gradients in its velocity and temperature. We derive the general expression for the drag force to first order in the fluid gradients. Using this general expression, we show that a quark that is instantaneously at rest, relative to the fluid, in a fluid whose velocity is changing with time feels a nonzero force. And, we show that for a quark that is moving ultra-relativistically, the first order gradient "corrections" become larger than the zeroth order drag force, suggesting that the gradient expansion may be unreliable in this regime. We illustrate the importance of the fluid gradients for heavy quark energy loss by considering a fluid with one-dimensional boost invariant Bjorken expansion as well as the strongly coupled plasma created by colliding sheets of energy.

33 pages, 5 figures

References in corpus (13)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Holography and colliding gravitational shock waves in asymptotically AdS_5 spacetime
• Local Fluid Dynamical Entropy from Gravity
• Energy Loss of Heavy Quarks from Asymptotically AdS Geometries
• Drag Force in a Charged N=4 SYM Plasma
• On Drag Forces and Jet Quenching in Strongly Coupled Plasmas
• Drag force in SYM plasma with B field from AdS/CFT
• Robustness and Infrared Sensitivity of Various Observables in the Application of AdS/CFT to Heavy Ion Collisions
• Heavy quark in an expanding plasma in AdS/CFT

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• Jet Drift and Collective Flow in Heavy-Ion Collisions
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• Schwinger-Keldysh effective action for relativistic Brownian particle in AdS-CFT
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• Gradient Correction to Photon Emission Rate at Strong Coupling
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• Theory @ Hard Probes 2013