Stochastic String Motion Above and Below the World Sheet Horizon

Details Stochastic String Motion Above and Below the World Sheet Horizon Stochastic String Motion Above and Below the World Sheet Horizon

2009-08-11

arxiv.org/abs/0908.1470v2

JHEP 0912:066,2009

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 5 figures; v2 final version, small changes, references added

Scientific paper

10.1088/1126-6708/2009/12/066

We study the stochastic motion of a relativistic trailing string in black hole AdS_5. The classical string solution develops a world-sheet horizon and we determine the associated Hawking radiation spectrum. The emitted radiation causes fluctuations on the string both above and below the world-sheet horizon. In contrast to standard black hole physics, the fluctuations below the horizon are causally connected with the boundary of AdS. We derive a bulk stochastic equation of motion for the dual string and use the AdS/CFT correspondence to determine the evolution a fast heavy quark in the strongly coupled $\N=4$ plasma. We find that the kinetic mass of the quark decreases by $\Delta M=-\sqrt{\gamma \lambda}T/2$ while the correlation time of world sheet fluctuations increases by $\sqrt{\gamma}$.

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