Damping of hard excitations in strongly coupled $\mathcal{N}=4$ plasma

Abstract

The damping of high momentum excitations in strongly coupled maximally supersymmetric Yang-Mills plasma is studied. Previous calculations of the asymptotic behavior of the quasinormal mode spectrum are extended and clarified. We confirm that subleading corrections to the lightlike dispersion relation $\omega (\mathbf{q})=|\mathbf{q}|$ have a universal $|\mathbf{q}{|}^{-1/3}$ form. Sufficiently narrow, weak planar shocks may be viewed as coherent superpositions of short wavelength quasinormal modes. The attenuation and evolution in profile of narrow planar shocks are examined as an application of our results.

arXiv comment29 pages, 9 figures

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