2007

Viscosity, Black Holes, and Quantum Field Theory

Son, D. T., Starinets, A. O.

Understand

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.

Built on

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Similar

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Policastro G, Son DT, Starinets AO. From AdS/CFT correspondence to hydrodynamics. J. High Energy Phys
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Kovtun P, Son DT, Starinets AO. Holography and hydrodynamics: Diffusion on stretched horizons. J. High Energy Phys
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Teaney D. Effect of shear viscosity on spectra, elliptic flow, and Hanbury Brown-Twiss radii. Phys. Rev. C
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Buchel A, Liu JT, Thermodynamics of the 𝒩 = 2 ∗ {\cal N}=2^{*} flow. J. High Energy Phys
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Then

Kovtun PK, Starinets AO. Quasinormal modes and holography. Phys. Rev. D
2005
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Buchel A. On universality of stress-energy tensor correlation functions in supergravity, Phys. Lett. B
2005
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Buchel A. N = 2* hydrodynamics. Nucl. Phys. B
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Buchel A, Liu JT, Starinets AO. Coupling constant dependence of the shear viscosity in 𝒩 = 4 {\cal N}=4 supersymmetric Yang-Mills theory. Nucl. Phys. B
2005
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Parnachev A, Starinets A. The silence of the little strings. J. High Energy Phys
2005
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Benincasa P, Buchel A, Starinets AO. Sound waves in strongly coupled non-conformal gauge theory plasma. Nucl. Phys. B
2006
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Herzog CP et al. Energy loss of a heavy quark moving through 𝒩 = 4 {\cal N}=4 supersymmetric Yang-Mills plasma. J. High Energy Phys
2006
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Liu H, Rajagopal K, Wiedemann UA. Calculating the jet quenching parameter from AdS/CFT, Phys. Rev. Lett
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Casalderrey-Solana J, Teaney D. Heavy quark diffusion in strongly coupled 𝒩 = 4 {\cal N}=4 Yang Mills. Phys. Rev. D
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Gubser, SS. Drag force in AdS/CFT. Phys. Rev. D
2006
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Son DT, Starinets AO. Hydrodynamics of R-charged black holes. J. High Energy Phys
2006
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Mas J, Shear viscosity from R-charged AdS black holes. J. High Energy Phys
2006
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Maeda K, Natsuume M, Okamura T. Viscosity of gauge theory plasma with a chemical potential from AdS/CFT. Phys. Rev. D
2006
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Saremi O. The viscosity bound conjecture and hydrodynamics of M2-brane theory at finite chemical potential. J. High Energy Phys
2006
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Benincasa P, Buchel A, Naryshkin R. The shear viscosity of gauge theory plasma with chemical potentials. Phys. Lett. B
2007
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