Relativistic viscous hydrodynamics, conformal invariance, and holography

Baier R, Romatschke P, Son DT, Starinets AO, Stephanov MA (2008)
JHEP 2008(04).

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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 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 Muller-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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Baier R, Romatschke P, Son DT, Starinets AO, Stephanov MA. Relativistic viscous hydrodynamics, conformal invariance, and holography. JHEP. 2008;2008(04).
Baier, R., Romatschke, P., Son, D. T., Starinets, A. O., & Stephanov, M. A. (2008). Relativistic viscous hydrodynamics, conformal invariance, and holography. JHEP, 2008(04).
Baier, R., Romatschke, P., Son, D. T., Starinets, A. O., and Stephanov, M. A. (2008). Relativistic viscous hydrodynamics, conformal invariance, and holography. JHEP 2008.
Baier, R., et al., 2008. Relativistic viscous hydrodynamics, conformal invariance, and holography. JHEP, 2008(04).
R. Baier, et al., “Relativistic viscous hydrodynamics, conformal invariance, and holography”, JHEP, vol. 2008, 2008.
Baier, R., Romatschke, P., Son, D.T., Starinets, A.O., Stephanov, M.A.: Relativistic viscous hydrodynamics, conformal invariance, and holography. JHEP. 2008, (2008).
Baier, Rudolf, Romatschke, Paul, Son, Dam Thanh, Starinets, Andrei O., and Stephanov, Mikhail A. “Relativistic viscous hydrodynamics, conformal invariance, and holography”. JHEP 2008.04 (2008).
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