The relativistic Langevin dynamics of heavy quark diffusion from Holography

by Elias Kiritsis (Univ of Crete)

Monday 26 Jul 2010, 11:00 → 12:00 Europe/Zurich

160/1-009 (CERN)

The Langevin diffusion process of a relativistic heavy quark in a non-conformal holographic setup is discussed. 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. Title: HIF Community: ALICE Start date: 26/07/2010 at 10:30 End date: 26/07/2010 at 13:00 Phone Bridge ID: 2131858 http://evo.caltech.edu/evoGate/koala.jnlpmeeting=MtM8Ma282vDtDM9D9vDs9t

Slides CERN-HI-Forum.pdf