Near Zone Navier-Stokes Analysis of Heavy Quark Jet Quenching in an $\mathcal{N}$ =4 SYM Plasma

Abstract

The near zone energy-momentum tensor of a supersonic heavy quark jet moving through a strongly-coupled $\mathcal{N}=4$ SYM plasma is analyzed in terms of first-order Navier-Stokes hydrodynamics. It is shown that the hydrodynamical description of the near quark region worsens with increasing quark velocities. For realistic quark velocities, $v=0.99$, the non-hydrodynamical region is located at a narrow band surrounding the quark with a width of approximately $3/\pi T$ in the direction parallel to the quark's motion and with a length of roughly $10/\pi T$ in the perpendicular direction. Our results can be interpreted as an indication of the presence of coherent Yang-Mills fields where deviation from hydrodynamics is at its maximum. In the region where hydrodynamics does provide a good description of the system's dynamics, the flow velocity is so small that all the nonlinear terms can be dropped. Our results, which are compatible with the thermalization timescales extracted from elliptic flow measurements, suggest that if AdS/CFT provides a good description of the RHIC system, the bulk of the quenched jet energy has more than enough time to locally thermalize and become encoded in the collective flow. The resulting flow pattern close to the quark, however, is shown to be considerably different than the superposition of Mach cones and diffusion wakes observed at large distances.

new revised version, 11 figures, as published in PRC

References in corpus (23)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Nonlinear Fluid Dynamics from Gravity
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Polarization probes of vorticity in heavy ion collisions
• Viscous hydrodynamics relaxation time from AdS/CFT
• The wake of a quark moving through a strongly-coupled $\mathcal{N}=4$ supersymmetric Yang-Mills plasma
• Sonic booms and diffusion wakes generated by a heavy quark in thermal AdS/CFT
• The stress tensor of a quark moving through N=4 thermal plasma
• Relativistic Dissipative Hydrodynamics: A Minimal Causal Theory
• Transverse momentum and centrality dependence of dihadron correlations in Au+Au collisions at sqrt(s_NN)=200 GeV: Jet-quenching and the response of partonic matter
• Early Time Dynamics in Heavy Ion Collisions from AdS/CFT Correspondence
• Energy disturbances due to a moving quark from gauge-string duality
• Dissipation from a heavy quark moving through N=4 super-Yang-Mills plasma
• On the energy deposited by a quark moving in an N=4 SYM plasma
• Master field treatment of metric perturbations sourced by the trailing string
• Three-particle azimuthal correlations and Mach shocks
• Universality of the diffusion wake in the gauge-string duality
• Search for Conical Emission with Three-Particle Correlations

Cited by in corpus (9)

• Di-Jet Conical Correlations Associated with Heavy Quark Jets in anti--de Sitter Space/Conformal Field Theory Correspondence
• The Heavy Quark Potential as a Function of Shear Viscosity at Strong Coupling
• Shock propagation and stability in causal dissipative hydrodynamics
• Extensivity of Irreversible Current and Stability in Causal Dissipative Hydrodynamics
• Near Zone Hydrodynamics of AdS/CFT Jet Wakes
• Probing the Frontiers of QCD
• Jet Propagation and Mach-Cone Formation in (3+1)-dimensional Ideal Hydrodynamics
• Conical Di-jet Correlations from a Chromo-Viscous Neck in AdS/CFT
• Mach-like Angular Correlations Arise Only From the Head Zone of AdS/CFT String Jets