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arxiv: 0704.0240 · v2 · submitted 2007-04-02 · ✦ hep-th

Viscosity, Black Holes, and Quantum Field Theory

classification ✦ hep-th
keywords fieldtheoryviscosityblackformulatehydrodynamicmodesapplying
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We review recent progress in applying the AdS/CFT correspondence to finite-temperature field theory. In particular, we show how the hydrodynamic behavior of field theory is reflected in the low-momentum limit of correlation functions computed through a real-time AdS/CFT prescription, which we formulate. We also show how the hydrodynamic modes in field theory correspond to the low-lying quasinormal modes of the AdS black p-brane metric. We provide a proof of the universality of the viscosity/entropy ratio within a class of theories with gravity duals and formulate a viscosity bound conjecture. Possible implications for real systems are mentioned.

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