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The wake of a quark moving through a strongly-coupled $\mathcal N=4$ supersymmetric Yang-Mills plasma

Laurence G. Yaffe, Paul M. Chesler

TL;DR

The energy density wake produced by a heavy quark moving through a strongly coupled N=4 supersymmetric Yang-Mills plasma is computed using gauge-string duality.

Abstract

The energy density wake produced by a heavy quark moving through a strongly coupled N=4 supersymmetric Yang-Mills plasma is computed using gauge/string duality.

The wake of a quark moving through a strongly-coupled $\mathcal N=4$ supersymmetric Yang-Mills plasma

TL;DR

The energy density wake produced by a heavy quark moving through a strongly coupled N=4 supersymmetric Yang-Mills plasma is computed using gauge-string duality.

Abstract

The energy density wake produced by a heavy quark moving through a strongly coupled N=4 supersymmetric Yang-Mills plasma is computed using gauge/string duality.

Paper Structure

This paper contains 22 equations, 3 figures.

Figures (3)

  • Figure 1: Plot of $|\mathbf x| \, \mathcal{E}(\mathbf x)/(T^3 \sqrt{\lambda})$ for $v = 1/4$, with the zero temperature and near zone (\ref{['near']}) contributions removed. Note the absence of structure in the region $|\mathbf x| \gg 1 / \pi T$.
  • Figure 2: Plot of $|\mathbf x| \, \mathcal{E}(\mathbf x)/(T^3 \sqrt{\lambda})$ for $v = 3/4$, with the $T{=}0$ and near zone (\ref{['near']}) contributions removed. A Mach cone is clearly visible, with an opening half-angle $\theta \approx 50^\circ$.
  • Figure 3: Plot of $|\mathbf x| \, \mathcal{E}(\mathbf x)/(T^3 \sqrt{\lambda})$ for $v = 1/\sqrt{3}$, with the $T{=}0$ and near zone (\ref{['near']}) contributions removed. A planar shock front perpendicular to the quark velocity is evident.