Son, Dam T. and Starinets, Andrei O. (2007) Viscosity, black holes, and quantum field theory. Annual Review of Nuclear and Particle Science, 57, 95-118. (doi:10.1146/annurev.nucl.57.090506.123120).
Abstract
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 quasi-normal modes of the AdS black p-brane metric. We provide 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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