Stochastic string motion above and below the world sheet horizon

doi:10.1088/1126-6708/2009/12/066

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Jorge Casalderrey-Solana et al JHEP12(2009)066 doi:10.1088/1126-6708/2009/12/066

Stochastic string motion above and below the world sheet horizon

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Jorge Casalderrey-Solana^a, Keun-Young Kim^b and Derek Teaney^b

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We study the stochastic motion of a relativistic trailing string in black hole AdS₅. 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 of a fast heavy quark in the strongly coupled Script N

= 4 plasma. We find that the kinetic mass of the quark decreases by ΔM = −(γλ)^1/2T/2 while the correlation time of world sheet fluctuations increases by γ^1/2.

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Stochastic string motion above and below the world sheet horizon

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