## Improved Hydrodynamics from the AdS/CFT

##### Authors
Lublinsky, Michael
Shuryak, Edward
##### Description
We generalize (linearized) relativistic hydrodynamics by including all order gradient expansion of the energy momentum tensor, parametrized by four momenta-dependend transport coefficients, one of which is the usual shear viscosity. We then apply the AdS/CFT duality for ${\cal N}=4$ SUSY in order to compute the retarded correlators of the energy-momentum tensor. From these correlators we determine a large set of transport coefficients of third- and fourth-order hydrodynamics. We find that higher order terms have a tendency to reduce the effect of viscosity.
Comment: 26 pages, 4 figs. Refs and few comments are added. Minor corrections. Version to be published in Phys. Rev. D
##### Keywords
High Energy Physics - Phenomenology, High Energy Physics - Theory, Nuclear Theory