Stochastic trailing string and Langevin dynamics from AdS/CFT

Details Stochastic trailing string and Langevin dynamics from AdS/CFT Stochastic trailing string and Langevin dynamics from AdS/CFT

2009-03-10

arxiv.org/abs/0903.1840v1

JHEP 0907:033,2009

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 4 figures

Scientific paper

10.1088/1126-6708/2009/07/033

Using the gauge/string duality, we derive a set of Langevin equations describing the dynamics of a relativistic heavy quark moving with constant average speed through the strongly-coupled N=4 SYM plasma at finite temperature. We show that the stochasticity arises at the string world-sheet horizon, and thus is causally disconnected from the black hole horizon in the space-time metric. This hints at the non-thermal nature of the fluctuations, as further supported by the fact that the noise term and the drag force in the Langevin equations do not obey the Einstein relation. We propose a physical picture for the dynamics of the heavy quark in which dissipation and fluctuations are interpreted as medium-induced radiation and the associated quantum-mechanical fluctuations. This picture provides the right parametric estimates for the drag force and the (longitudinal and transverse) momentum broadening coefficients.

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