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Viscous hydrodynamics relaxation time from AdS/CFT

Michal P. Heller·Romuald A. Janik
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Abstract

We consider an expanding boost-invariant plasma at strong coupling using the AdS/CFT correspondence for N=4 SYM. We determine the relaxation time in second order viscous hydrodynamics and find that it is around thirty times shorter than weak coupling expectations. We find that the nonsingularity of the dual geometry in the string frame necessitates turning on the dilaton which leads to a nonvanishing expectation value for tr F^2 behaving like tau^(-10/3).

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Michal P. Heller, Romuald A. Janik. 2007-10-12. Viscous hydrodynamics relaxation time from AdS/CFT. https://doi.org/10.1103/physrevd.76.025027

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