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Journal of High Energy Physics 12 (2010) 88
Langevin diffusion of heavy quarks in non-conformal holographic backgrounds
U. Gursoy, E. Kiritsis1, 2, L. Mazzanti, F. Nitti1

The Langevin diffusion process of a relativistic heavy quark in a non-conformal holographic setup is discussed. The bulk geometry is a general, five-dimensional asymptotically AdS black hole. The heavy quark is described by a trailing string attached to a flavor brane, moving at constant velocity. From the equations describing linearized fluctuations of the string world-sheet, the correlation functions defining a generalized Langevin process are constructed via the AdS/CFT prescription. In the local limit, analytic expressions for the Langevin diffusion and friction coefficients are obtained in terms of the bulk string metric. Modified Einstein relations between these quantities are also derived. The spectral densities associated to the Langevin correlators are analyzed, and simple analytic expressions are obtained in the small and large frequency limits. Finally, a numerical analysis of the jet-quenching parameter, and a comparison to RHIC phenomenology are performed in the case of Improved Holographic QCD.
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
2 :  Physics Department
Physique/Physique des Hautes Energies - Phénoménologie

Physique/Physique des Hautes Energies - Théorie

Physique/Physique Nucléaire Théorique
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