Schwinger-Keldysh propagators from AdS/CFT correspondence

By Christopher P. Herzog, D. Son. 2002

488 citations recorded by the source corpus.

We demonstrate how to compute real-time Green's functions for a class of finite temperature field theories from their AdS gravity duals. In particular, we reproduce the 2 ? 2 Schwinger-Keldysh matrix propagator from a gravity calculation. Our methods should work also for computing higher point lorentzian signature correlators. We elucidate the boundary condition subtleties which hampered previous efforts to build a lorentzian-signature AdS/CFT correspondence. For two-point correlators, our construction is automatically equivalent to the previously formulated prescription for the retarded propagator.

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

View Paper: https://www.semanticscholar.org/paper/3c15f028b37cc0e884c5d9601f84d953eea795d7

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Citations in the corpus

Gravity and hydrodynamics: lectures on the fluid-gravity correspondence (2009, background): “zed ﬂuid dynamics from linearized gravity in asymptotically AdS black hole backgrounds. The exploration of linearized hydrodynamics has been carried out in various diﬀerent contexts over the years in [19, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43] and we refer the reader to ”
AdS / CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM (2003, methodology): “The finite-temperature correlators of N = 4 SYM operators dual to scalar, vector and tensor fluctuations in the AdS-Schwarzschild background were computed in [5, 6] in the high-temperature (hydrodynamic) approximation using the Lorentzian AdS/CFT prescription proposed in [8] and recently justified(1”
Viscosity, Black Holes, and Quantum Field Theory (2007, methodology): “The first calculation of this type, that of the shear viscosity in N = 4 supersymmetric YangMills (SYM) theory [6], is followed by the theoretical work to establish the rules of real-time finite-temperature AdS/CFT correspondence [7, 8].”
Lectures on holographic methods for condensed matter physics (2009, methodology): “This prescription was subsequently shown to emerge from an AdS/CFT implementation of the Schwinger-Keldysh double contour formalism for finite temperature quantum field theory in [74] and more formally in [75].”
Holographic Duality with a View Toward Many-Body Physics (2009, methodology): “• It has been derived from a holographic version of the Schwinger-Keldysh prescription [46, 45, 47].”
Real-time gauge/gravity duality: prescription, renormalization and examples (2008, methodology): “The same bulk-boundary propagator was actually written down in [13], where it was obtained by imposing boundary conditions at the horizon which are natural from considerations of quantum field theory in curved space [46].”
Deriving covariant holographic entanglement (2016, methodology): “This question has been addressed in the AdS/CFT context a long time ago: a prescription to compute real time correlation functions was first given in [19] and was subsequently derived from a Schwinger-Keldysh framework in [20].”
Momentum fluctuations of heavy quarks in the gauge-string duality (2006, methodology): “An argument was made in [54], and extended to the present context in [45], that the correct way to do this is to continue in the lower half of the complex V plane and the upper half of the complex U plane when horizon singularities are encountered.”
Local Fluid Dynamical Entropy from Gravity (2008, background): “ons in d dimensions. There is now substantial direct evidence for the connection between the long distance equations of gravity on AdS d+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, ”
Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “[325] later justified the prescription and extended it to n-point functions.”
Quasinormal modes and holography (2005, methodology): “Applying the Lorentzian AdS/CFT prescription [9, 20] to the action (3.”
String theory and quantum chromodynamics (2007, background): “However, this is a slightly technical calculation that requires, among other things, the details of the real-time prescription for the calculation of correlators [11, 12].”