Relativistic viscous hydrodynamics, conformal invariance, and holography
By R. Baier, Paul Romatschke, D. Son, A. Starinets, M. Stephanov. 2007
925 citations recorded by the source corpus.
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 Muller-Israel-Stewart theory, often used in numerical simulations, does not contain all allowed second-order terms and, frequently, terms required by conformal invariance.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/0d57c1d7042e14ee854c62b0a7463bde36b8615c
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In Nuclear and High Energy Physics
Citations in the corpus
- Collective flow and hydrodynamics in large and small systems at the LHC (2017, neutral): “The above Israel–Stewart formalism can also be obtained from the kinetic theory [76–80] or from the conformal symmetry constraints [77].”
- Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “the tensor Πμν are linear combinations of these operators, and can be cast in the form [90,91]”
- The holographic fluid dual to vacuum Einstein gravity (2011, background): “oefficients may be straightforwardly evaluated by extending the gravitational analysis to the appropriate order. 11For curved backgrounds additional terms involving the Riemann tensor appear, see e.g., [23]. 12Alternative gauge choices for Pare however possible. In particular, one may send → − r3/2 c ”
- Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes (2013, background): “Examples include the study of viscosity and related transport coefficients [6–9], more general aspects of dissipative hydrodynamics [10–12], quasi-normal modes and near-equilibrium response [13, 14], and dynamics of probes such as heavy quarks [15–19] or light quarks [20, 21].3 There has been much…”
- Relativistic Hydrodynamics in Heavy-Ion Collisions: General Aspects and Recent Developments (2016, methodology): “In Table I, we compare the transport coefficients obtained from kinetic theory and from calculations employing ADS/CFT correspondence of strongly coupled N = 4 SYM and its supergravity dual [87, 88].”
- A Holographic View on Physics out of Equilibrium (2010, methodology): “We will for convenience present the results in the normalizations used initially in [83].”
- Holographic evolution of entanglement entropy (2010, background): “ect fluids, with very low specific viscosity [4]. This fact describes well the data from heavy ion experiments and has represented a major success for the holographic techniques, which were extended in [5,6] to the study of non-linear fluid dynamics. Continuing this line of work, it is very interesting”
- Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT (2008, neutral): “Contents”
- Relativistic Fluid Dynamics in and out of Equilibrium (2017, methodology): “The maximal signal propagation speed in the shear channel is smaller than the speed of light if τπ > γη [28, 109]:”
- From Navier-Stokes to Einstein (2011, neutral): “This observation has been developed in many directions [10,12,29,41–51].”
- Improved Holographic QCD (2010, background): “bulk viscosity. QCD on the other hand is not 2These are the leading transport coefficients in the derivative expansion. There are subleading coefficients that have been calculated recently for N = 4 SYM, [27]. However, at the present level of accuracy, they cannot affect substantially the comparison to e”