From AdS/CFT correspondence to hydrodynamics. II. Sound waves

By G.Policastro, D.T.Son, A.O.Starinets. 2002

156 citations recorded by the source corpus.

: As a non-trivial check of the non-supersymmetric gauge/gravity duality, we use a near-extremal black brane background to compute the retarded Green’s functions of the stress-energy tensor in N = 4 super-Yang-Mills (SYM) theory at finite temperature. For the long-distance, low-frequency modes of the diagonal components of the stress-energy tensor, hydrodynamics predicts the existence of a pole in the correlators corresponding to propagation of sound waves in the N = 4 SYM plasma. The retarded Green’s functions obtained from gravity do indeed exhibit this pole, with the correct values for the sound speed and the rate of attenuation.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/522bf733a324525bc05b591cb7a720c2c886b83a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. R. Myers
2. M. Rangamani
3. V. Hubeny
4. S. Hartnoll
5. S. Sachdev
6. T. Takayanagi
7. D. Mateos
8. A. Starinets

In Nuclear and High Energy Physics

1. R. Myers
2. M. Rangamani
3. V. Hubeny
4. S. Hartnoll
5. T. Takayanagi
6. S. Sachdev
7. S. Gubser
8. D. Mateos

Citations in the corpus

• Entropy current in conformal hydrodynamics (2008, background): “A non-exhaustive list of references include [1, 2, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35] .”
• Wilsonian approach to fluid/gravity duality (2010, background): “A quarter century later, ηs = 1 4π reappeared in a beautiful paper by Policastro, Starinets and Son (PSS)[11], see also [12-28] and the review [29].”
• On universality of stress-energy tensor correlation functions in supergravity (2004, background): “The relevant set of supergravity backgrounds includes all geometries which can be interpreted via gauge theory/string theory correspondence as being holographically dual to finite temperature gauge theories in Minkowski space-times.”
• From Navier-Stokes to Einstein (2011, unknown): “This observation has been developed in many directions [10,12,29,41–51].”
• The dS/dS Correspondence (2004, background): “Many hydrodynamic processes have been uncovered from the dual gravity in [29,30,31,32] using purely outgoing boundary conditions on the horizon to reflect the dissipative nature of the diffusion process.”
• A Holographic View on Physics out of Equilibrium (2010, methodology): “This was first carried out in the AdS/CFT context in [71, 72].”
• Thermodynamics of the brane (2007, background): “sult that for the strongly coupled gauge theory in (p+ 1) dimensions v2 s = 5 −p 9 −p = ( 1/3 for p= 3, 1/5 for p= 4. (2.14) We see above that the conformal result v2 s = 1/pis only achieved for p= 3 [25, 26], as expected. We note, however, that the p= 1 and 4 backgrounds are related through a simpl”
• Holography and hydrodynamics: Diffusion on stretched horizons (2003, methodology): “(10)Sound waves from the AdS/CFT perspective were considered in [13, 14].”
• Schwinger-Keldysh propagators from AdS/CFT correspondence (2002, unknown): “December 2002”
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models (2016, background): “! nj+ Dp2 e i!n˝ (4.15) with ! n = 2ˇn 00 . This equation directly gives the Matsubara correlator C ˝ (p;i! n). By analytically continuing 10 i! n!!+ iin C˝ 00 (p;i! n) and subtracting a contact term[41], one obtains the retarded energy-density correlation function in the (p;!) space11: CR 00(p;!) =”
• Quasinormal modes and holography (2005, methodology): “Real-time thermal correlators of the conserved R-symmetry currents and stress-energy tensor in this theory were considered in the AdS/CFT approach in [11, 15, 16].”
• Nonlinear fluid dynamics from gravity (2007, unknown): “24 56 v4 [ ∗sayanta@theory.tifr.res.in †veronika.hubeny@durham.ac.uk ‡minwalla@theory.tifr.res.in §mukund.rangamani@durham.ac.uk Contents”
• Ohm's law at strong coupling: S duality and the cyclotron resonance (2007, background): “Already in the case without a chemical potential and a magnetic field they are present as can be seen from setting 〈JT 〉u to zero in (52) and was noticed in [13, 22].”
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang–Mills theory (2004, methodology): “6) was obtained by a number of interconnected methods [20], [21], [22], [23] all of which relied on the validity of the conjectured gauge/gravity correspondence.”