Viscosity, Black Holes, and Quantum Field Theory
By D. Son, A. Starinets. 2007
626 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/8a00d38e13d02a3da4ef044f7993aa3c54d88fda
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Citations in the corpus
- Bulk viscosity of strongly coupled plasmas with holographic duals (2008, background): “The results included in this section are not new: Kubo’s linear response theory was developed about fifty years ago in [28, 29], and the stress-energy response to metric fluctuations in linearized hydrodynamics is explained, for example, in [30].”
- Holographic Duality with a View Toward Many-Body Physics (2009, background): “Material from other review articles, including [1, 3, 4, 2, 5, 6, 7], has been liberally borrowed to construct these notes.”
- Real-time gauge/gravity duality: prescription, renormalization and examples (2008, background): “Such a development is also becoming urgent as potential current and future applications of holography to modelling of the quark-gluon plasma in RHIC and LHC require real-time techniques, see [8] for a review.”
- Kerr/CFT Correspondence (2008, neutral): “nuclear [5, 6, 7 ], condensed matter [8, 9, 10] and atomic [11, 12] physics.”
- A Holographic View on Physics out of Equilibrium (2010, background): “Understanding its implications and its raison d’être has been the focus of a large body of literature, which we cannot do justice to here and point the reader to the excellent review article [23] for developments till a couple of years ago.”
- Brownian Motion in AdS/CFT (2008, positive): “More recently, it has become clear that one can also exploit the gravitational description to understand the hydrodynamic regime of the quark-gluon plasma, as was originally proposed in [11] and has been significantly developed afterwards (see [12] and references therein for earlier work on hydrodyn”
- Black hole determinants and quasinormal modes (2009, background): “Examples of situations where this occurs include hydrodynamic poles [34, 35], cyclotron resonances [36, 37], near the onset of bosonic instabilities such as superconductivity [38, 39, 40] and in the vicinity of Fermi surfaces [41, 42, 43, 44].”
- Wilsonian approach to fluid/gravity duality (2010, background): “A quarter century later, ηs = 1 4π reappeared in a beautiful paper by Policastro, Starinets and Son (PSS)[11], see also [12-28] and the review [29].”