Real-time gauge/gravity duality: prescription, renormalization and examples
By Kostas Skenderis, B. C. Rees. 2008
323 citations recorded by the source corpus.
We present a comprehensive analysis of the prescription we recently put forward for the computation of real-time correlation functions using gauge/gravity duality. The prescription is valid for any holographic supergravity background and it naturally maps initial and final data in the bulk to initial and final states or density matrices in the field theory. We show in detail how the technique of holographic renormalization can be applied in this setting and we provide numerous illustrative examples, including the computation of time-ordered, Wightman and retarded 2-point functions in Poincare and global coordinates, thermal correlators and higher-point functions.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/2729fdc0410d879612f37f507efb59bd7a0c9e15
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Citations in the corpus
- Deriving covariant holographic entanglement (2016, methodology): “This question was answered in [21, 22] whose analysis will inspire us to provide a bulk prescription for the computation of the reduced density matrix elements.”
- Brownian Motion in AdS/CFT (2008, unknown): “Such 4-point functions should be computable [30, 33] making use of the formalism for Lorentzian AdS/CFT correspondence [34, 35].”
- A Holographic View on Physics out of Equilibrium (2010, background): “This is of course well known from the discussions of computing thermal correlation functions [56, 57, 62].”
- Topologically Massive Gravity and the AdS/CFT Correspondence (2009, methodology): “21) holds both in Lorentzian and in Euclidean signature [31].”
- Holography for Schrödinger backgrounds (2010, background): “In the context of AdS/CFT the proper set up to investigate the initial value problem is the framework of [52].”
- Nonlinear gravity from entanglement in conformal field theories (2017, background): “created by Euclidean path-integrals of the type discussed in [24, 25] and inspired by [26, 27] (see section 3.”
- Edge modes of gravity. Part I. Corner potentials and charges (2020, background): “These analogies play of course a key role in the formulation of the AdS/CFT correspondence for time-like boundaries near infinity of asymptotic AdS [77–80].”
- Lifshitz holography (2015, background): “As we discussed in the context of black holes, numerics is often required for problems which could be solved analytically in anti-de Sitter.”