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Relativistic viscous hydrodynamics, conformal invariance, and holography

Relativistic viscous hydrodynamics, conformal invariance, and holography
Relativistic viscous hydrodynamics, conformal invariance, and holography
We consider second-order viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the second-order corrections. By matching to the AdS/CFT calculations of correlators, and to recent results for Bjorken flow obtained by Heller and Janik, we find three (out of five) second-order transport coefficients in the strongly coupled = 4 supersymmetric Yang-Mills theory. We also discuss how these new coefficents can arise within the kinetic theory of weakly coupled conformal plasmas. We point out that the Müller-Israel-Stewart theory, often used in numerical simulations, does not contain all allowed second-order terms and, frequently, terms required by conformal invariance.
ads-cft correspondence, thermal field theory
Baier, Rudolph
733c1e49-88f2-4bbd-9262-e9469e9fbf31
Romatschke, Paul
2ff0ab19-f5cf-4791-b3ea-f3eb694a334a
Son, Dam Thanh
cefe6919-fcd8-42d7-9cff-7fd9e3b11658
Starinets, Andrei O.
4c7f2b3d-0ff6-4d26-b978-7d18571c8b17
Stephanov, Mikhail A
6e985aa0-d432-4bb2-8c69-c2345357a0f5
Baier, Rudolph
733c1e49-88f2-4bbd-9262-e9469e9fbf31
Romatschke, Paul
2ff0ab19-f5cf-4791-b3ea-f3eb694a334a
Son, Dam Thanh
cefe6919-fcd8-42d7-9cff-7fd9e3b11658
Starinets, Andrei O.
4c7f2b3d-0ff6-4d26-b978-7d18571c8b17
Stephanov, Mikhail A
6e985aa0-d432-4bb2-8c69-c2345357a0f5

Baier, Rudolph, Romatschke, Paul, Son, Dam Thanh, Starinets, Andrei O. and Stephanov, Mikhail A (2008) Relativistic viscous hydrodynamics, conformal invariance, and holography. Journal of High Energy Physics, JHEP04(2008) (100). (doi:10.1088/1126-6708/2008/04/100).

Record type: Article

Abstract

We consider second-order viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the second-order corrections. By matching to the AdS/CFT calculations of correlators, and to recent results for Bjorken flow obtained by Heller and Janik, we find three (out of five) second-order transport coefficients in the strongly coupled = 4 supersymmetric Yang-Mills theory. We also discuss how these new coefficents can arise within the kinetic theory of weakly coupled conformal plasmas. We point out that the Müller-Israel-Stewart theory, often used in numerical simulations, does not contain all allowed second-order terms and, frequently, terms required by conformal invariance.

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More information

Published date: April 2008
Keywords: ads-cft correspondence, thermal field theory

Identifiers

Local EPrints ID: 57029
URI: https://eprints.soton.ac.uk/id/eprint/57029
PURE UUID: ada75e22-42b2-4f2f-977c-8173776f2595

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Date deposited: 14 Aug 2008
Last modified: 30 Jul 2019 17:43

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