Asymptotic perfect fluid dynamics as a consequence of AdS/CFT correspondence

By Romuald A. Janik, R. Peschanski. 2005

344 citations recorded by the source corpus.

We study the dynamics of strongly interacting gauge-theory matter (modelling quark-gluon plasma) in a boost-invariant setting using the AdS/CFT correspondence. Using Fefferman-Graham coordinates and with the help of holographic renormalization, we show that perfect fluid hydrodynamics emerges at large times as the unique nonsingular asymptotic solution of the nonlinear Einstein equations in the bulk. The gravity dual can be interpreted as a black hole moving off in the fifth dimension. Asymptotic solutions different from perfect fluid behaviour can be ruled out by the appearance of curvature singularities in the dual bulk geometry. Subasymptotic deviations from perfect fluid behaviour remain possible within the same framework.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/38ca6880729f5930da9e504a73cd1d7739c64567

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Citations in the corpus

Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes (2013, unknown): “The metric of a single shock moving in the +z direction is given by [64] ds(2) = ρ̃−2 [ −dx̃+dx̃− + dx̃(2)⊥ + dρ̃(2) ] + ρ̃(2) h(x̃−) dx̃ 2 − .”
Local Fluid Dynamical Entropy from Gravity (2008, methodology): “There is now substantial direct evidence for the connection between the long distance equations of gravity on AdSd+1 spacetime and d dimensional relativistic fluid dynamics; cf., [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 , 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32,”
Nonlinear fluid dynamics from gravity (2007, unknown): “Our work builds on earlier derivations of linearized fluid dynamics from linearized gravity by Policastro, Son and Starinets [1] and on earlier examples of the duality between nonlinear fluid dynamics and gravity by Janik, some of the current authors and collaborators [ 2 , 3, 4, 5, 6, 7, 8, 9] (cf,”
Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, background): “At a more theoretical level, motivation for our work is provided by the fluid/gravity correspondence [58, 59, 60, 61, 62, 63, 64, 65] (see [66, 67, 68] for reviews), which asserts that the long-wavelength effective dynamics of black brane horizons in asymptotically anti-de Sitter spacetimes is equiv”
The fluid/gravity correspondence: a new perspective on the membrane paradigm (2010, unknown): “The specific correspondence was formulated within the context of the gauge/gravity duality just a few years ago by Bhattacharyya, Minwalla, Rangamani, and myself in [12], building on previous works [13, 14, 15] and since then has been generalized and applied in hundreds of further works.”
Symmetry constraints on generalizations of Bjorken flow (2010, result): “This is in contrast to [14], where a gauge-string dual description of Bjorken flow was found by constructing an approximate solution to Einstein’s equations in AdS5.”
Heavy ions and string theory (2013, background): “• A gravity dual of the fluid flow can be found, similar to the boost-invariant flow of [66], but preserving the enhanced SO(3) little group symmetry of colliding null geodesics at X1 = X2 = X4 = 0.”
A Holographic View on Physics out of Equilibrium (2010, methodology): “In particular, let us consider the holographic dual to Bjorken flow [173, 174], also studied in [170].”
Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions (2008, background): “Especially notable in this regard are the pioneering work in [ 9 , 10, 11].) . Consequently, the construction of [1] may be thought of as an explicit map from the space of solutions of a distinguished set of Navier Stokes equations in d = 4 to the space of long wavelength solutions of asymptotically”
Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “[20–23], continues in modern form with the discovery of a dual gravitational description of a fluid that is cooling via boost-invariant longitudinal expansion [24] extends to the very recent discovery of the dual description of the collision of two finite-thickness sheets of energy density and the e”
Dynamics of baryons from string theory and vector dominance (2007, background): “A notable example of this sort is the prediction by AdS approaches of low viscosityentropy ratio [7] and also of low elliptic flow in matter at high temperature above the chiral restoration point [8], which is presumed to be observed at RHIC.”
From Gauge-string duality to strong interactions: A Pedestrian's guide (2009, background): “A notable attempt to go beyond static configurations is the work (62), in which an approximate holographic dual of Bjorken flow was found.”