Holography and hydrodynamics: diffusion on stretched horizons
Holography and hydrodynamics: diffusion on stretched horizons
We show that long-time, long-distance fluctuations of plane-symmetric horizons exhibit universal hydrodynamic behavior. By considering classical fluctuations around black-brane backgrounds, we find both diffusive and shear modes. The diffusion constant and the shear viscosity are given by simple formulas, in terms of metric components. For a given metric, the answers can be interpreted as corresponding kinetic coefficients in the holographically dual theory. For the near-extremal Dp, M2 and M5 branes, the computed kinetic coefficients coincide with the results of independent AdS/CFT calculations. In all the examples, the ratio of shear viscosity to entropy density is equal to ħ/(4π/kB), suggesting a special meaning of this value.
p-branes, black holes in string theory, AdS-CFT and dS-CFT correspondence, black holes
1-26
Kovtun, Pavel
0905327f-5ddc-4223-9733-08618b4738ec
Son, Dam T.
56be33e8-2897-4adb-a75d-c58453f93702
Starinets, Andrei O.
4c7f2b3d-0ff6-4d26-b978-7d18571c8b17
25 November 2003
Kovtun, Pavel
0905327f-5ddc-4223-9733-08618b4738ec
Son, Dam T.
56be33e8-2897-4adb-a75d-c58453f93702
Starinets, Andrei O.
4c7f2b3d-0ff6-4d26-b978-7d18571c8b17
Kovtun, Pavel, Son, Dam T. and Starinets, Andrei O.
(2003)
Holography and hydrodynamics: diffusion on stretched horizons.
Journal of High Energy Physics, 10 (64), .
(doi:10.1088/1126-6708/2003/10/064).
Abstract
We show that long-time, long-distance fluctuations of plane-symmetric horizons exhibit universal hydrodynamic behavior. By considering classical fluctuations around black-brane backgrounds, we find both diffusive and shear modes. The diffusion constant and the shear viscosity are given by simple formulas, in terms of metric components. For a given metric, the answers can be interpreted as corresponding kinetic coefficients in the holographically dual theory. For the near-extremal Dp, M2 and M5 branes, the computed kinetic coefficients coincide with the results of independent AdS/CFT calculations. In all the examples, the ratio of shear viscosity to entropy density is equal to ħ/(4π/kB), suggesting a special meaning of this value.
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Published date: 25 November 2003
Keywords:
p-branes, black holes in string theory, AdS-CFT and dS-CFT correspondence, black holes
Identifiers
Local EPrints ID: 57403
URI: http://eprints.soton.ac.uk/id/eprint/57403
PURE UUID: 021a69b4-9ac1-4899-adf7-40b7f25a1fe7
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Date deposited: 14 Aug 2008
Last modified: 15 Mar 2024 11:06
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Contributors
Author:
Pavel Kovtun
Author:
Dam T. Son
Author:
Andrei O. Starinets
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