Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality

By Makoto Natsuume, T. Okamura. 2007

139 citations recorded by the source corpus.

Department of Physics, Kwansei Gakuin University, Sanda, Hyogo, 669-1337, Japan(Dated: October 1, 2008)We study causal hydrodynamics (Israel-Stewart theory) of gauge theory plasmas from theAdS/CFT duality. Causal hydrodynamics requires new transport coefficients (relaxation times)and we compute them for a number of supersymmetric gauge theories including the N = 4 SYM.However, the relaxation times obtained from the “shear mode” do not agree with the ones from the“sound mode,” which implies that the Israel-Stewart theory is not a sufficient framework to describethe gauge theory plasmas.

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Citations in the corpus

• Gravity and hydrodynamics: lectures on the fluid-gravity correspondence (2009, background): “See also [58] for related discussion in the holographic context.”
• Dissecting holographic conductivities (2015, background): “to the Schwarzschild-AdS4 black brane (see table III of [31]), after replacing m with the wavenumber q.”
• Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT (2008, unknown): “Contents”
• Transport properties of the quark-gluon plasma (2011, unknown): “e is no separation between the transport time scale τΠ and the thermal scale πT. In fact, the second-order transport coefficients were calculated in the strongly coupled N= 4 SYM theory ([59], see also [85] for τΠ), with the result τΠ = 2−log2 2πT , (172) κ= η πT = s 4π2T . (173) The sound channel spe”
• A Holographic View on Physics out of Equilibrium (2010, result): “Similar analyses were also carried out in [84, 85].”
• Impure AdS/CFT correspondence (2008, background): “... with relevant quartic interactions [1, 2]. The AdS/CFT correspondence [5] provides a wealth of new examples of 2+1 CFTs in which explicit computations are possible at large N. Although this correspondence has been intensely studied for a decade, potential applications to concrete condensed matte”
• AdS/CFT Duality User Guide (2014, methodology): “namics is a framework: it does not tell the values of these parameters. However, AdS/CFT can determine these new transport coefficients if one solves the bulk perturbation equation up to higher orders [39, 40, 41]. The results obtained in AdS/CFT have been immediately applied to QGP hydrodynamic simu”
• Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, background): “Of course, the form of the dissipative terms at every order in the expansion can be written down on general grounds, but the derivation based on perturbations of our gravity solution would also predict specific values of the hydrodynamic coefficient of each term, as in [132, 64, 133].”
• Universal hydrodynamics of non-conformal branes (2009, unknown): “work [13, 14] for conformal backgrounds, include [15, 16, 17, 18 ] (see also [19, 20, 21] for”
• Fluid dynamics of R-charged black holes (2008, methodology): “For instance, in [15, 16] some of the second order transport coefficients were computed this way.”
• Universality class of holographic superconductors (2009, unknown): “[14–19].”