Hydrodynamic Long-Time tails From Anti de Sitter Space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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31 pages, references added

Scientific paper

10.1007/JHEP11(2010)013

For generic field theories at finite temperature, a power-law falloff of correlation functions of conserved currents at long times is a prediction of non-linear hydrodynamics. We demonstrate, through a one-loop computation in Einstein gravity in Anti de Sitter space, that this effect is reproduced by the dynamics of black hole horizons. The result is in agreement with the gauge-gravity correspondence.

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