“School of Particles And Accelerator”
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Paper IPM / Particles And Accelerator / 12629  


Abstract:  
To study the rate of energy and momentum loss of a heavy quark in QGP, specifically in the hydrodynamic regime, we use fluid/gravity duality and construct a perturbative procedure to find the string solution in gravity side. We show that by this construction, the position of the worldsheet horizon and thereby the drag force exerted on the quark can be computed perturbatively, order by order in a boundary derivative expansion, for a wide range of quark velocities. At ideal order, our result is just the localized expression of the drag force exerted on a moving quark in thermal plasma, while for a quark whose velocity does not belong to the mentioned range, we predict a nonlocal drag force. Furthermore, we apply this procedure to a transverse quark in Bjorken flow and compute the firstderivative corrections, namely viscous corrections, to the drag force. We show that the diffusion time depends on the initial momentum of the transverse quark and can be about 4fm for a high energy quark which has been created sufficiently late.
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