Near Zone Hydrodynamics of AdS/CFT Jet Wakes

Abstract

The 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. We focus on the near zone ``head'' region close to the heavy quark where deviations from hydrodynamic behavior are expected to be large. For realistic quark velocities, $v=0.99$, we find that the non-hydrodynamical head region is confined at a narrow pancake surrounding the jet with a width $\sim 1/T$ and transverse radius $\sim 3/T$. Outside this jet head region, the jet induced stress is well approximated by Navier-Stokes hydrodynamics.

4 pages, 5 figures, Presented at Quark Matter 2008: 20th International Conference on Ultra-Relativistic Nucleus Nucleus Collisions (QM 2008), Jaipur, India, 4-10 Feb 2008

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• Improved Hydrodynamics from the AdS/CFT
• Anomalous Conical Di-jet Correlations in pQCD vs AdS/CFT
• Di-Jet Conical Correlations Associated with Heavy Quark Jets in anti--de Sitter Space/Conformal Field Theory Correspondence
• Non-linear waves in a Quark Gluon Plasma
• Conical Emission in Heavy Ion Collisions
• Conical Di-jet Correlations from a Chromo-Viscous Neck in AdS/CFT