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Journal of High Energy Physics Volume 2008 JHEP04(2008) Create an alert RSS this journal

Rudolf Baier et al JHEP04(2008)100 doi:10.1088/1126-6708/2008/04/100

Relativistic viscous hydrodynamics, conformal invariance, and holography

Rudolf Baier1, Paul Romatschke2, Dam Thanh Son2, Andrei O. Starinets3 and Mikhail A. Stephanov4

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Abstract References Cited By
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 Script N = 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.

Keywords

AdS-CFT and dS-CFT Correspondence

Thermal Field Theory

PACS

11.10.Wx Finite-temperature field theory

11.30.Pb Supersymmetry

11.25.Hf Conformal field theory, algebraic structures

11.15.-q Gauge field theories

Subjects

Particle physics and field theory

Dates

Issue 04 (April 2008)

Received 19 January 2008, accepted for publication 11 April 2008

Published 29 April 2008



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