2007/04/30 by Dam T. Son, D. T. Son, Andrei O. Starinets +1 · 562 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Dual polyhedron #Field (mathematics) #Field theory (psychology) #Limit (mathematics) #Noncommutative and Quantum Gravity Theories #Quantum field theory #Quantum gravity #Thermal quantum field theory #Universality (dynamical systems) #hep-th
paper · pdf · doi:10.1146/annurev.nucl.57.090506.123120
published in Annual Review of Nuclear and Particle Science 57(1), 95-118 (Annual Reviews) · 23 pages, a review. New proof of the universality of the viscosity entropy ratio, new derivation of Kubo's formula; references added and minor typos corrected in version 2
openalex publication_date 2007/06/25 · arxiv created 2007/07/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.