Viscosity, Black Holes, and Quantum Field Theory
Apr, 200723 pages
Published in:
- Ann.Rev.Nucl.Part.Sci. 57 (2007) 95-118
e-Print:
- 0704.0240 [hep-th]
Report number:
- INT-PUB-07-02
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Abstract: (arXiv)
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.Note:
- 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
- AdS/CFT correspondence
- hydrodynamics
- space-time: anti-de Sitter
- field theory: conformal
- hydrodynamics
- viscosity
- entropy
- black hole
- finite temperature
- p-brane: quasinormal mode
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