Transient Fluid Dynamics of the Quark-Gluon Plasma According to AdS/CFT

Details Transient Fluid Dynamics of the Quark-Gluon Plasma According to AdS/CFT Transient Fluid Dynamics of the Quark-Gluon Plasma According to AdS/CFT

2011-04-13

arxiv.org/abs/1104.2415v2

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 1 figure; Ref. [7] has been updated

Scientific paper

We prove, using the AdS/CFT correspondence, that the long wavelength dynamics of the shear stress tensor in a strongly coupled N=4 SYM plasma is not described by the relaxation-type, fluid dynamical equations proposed by Israel and Stewart: the coarse grained dynamics will necessarily contain a second-order comoving derivative of the shear stress tensor. We argue that this should be true for any strongly-coupled gauge theory with a gravity dual. If the QGP formed in heavy ion collisions can indeed be described in terms of a (yet unknown) theory of gravity in higher dimensions, the equations of motion used in hydrodynamical simulations of the QGP must necessarily include second order comoving derivatives of the shear stress tensor.

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