Real-time gauge/gravity duality

Abstract

We present a general prescription for the holographic computation of real-time n-point functions in non-trivial states. In QFT such real-time computations involve a choice of a time contour in the complex time plane. The holographic prescription amounts to ``filling in'' this contour with bulk solutions: real segments of the contour are filled in with Lorentzian solutions while imaginary segments are filled in with Riemannian solutions and appropriate matching conditions are imposed at the corners of the contour. We illustrate the general discussion by computing the 2-point function of a scalar operator using this prescription and by showing that this leads to an unambiguous answer with the correct i epsilon insertions.

5 pages, 3 figures; v2: typos corrected, PRL version

References in corpus (3)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Viscosity, Black Holes, and Quantum Field Theory
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence

Cited by in corpus (161)

• Quasinormal modes of black holes and black branes
• Lectures on holographic methods for condensed matter physics
• Holographic duality with a view toward many-body physics
• Real-time gauge/gravity duality: Prescription, Renormalization and Examples
• Holographic Thermalization
• Deriving covariant holographic entanglement
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Holography for Cosmology
• Lifshitz holography
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Transverse Momentum Broadening and the Jet Quenching Parameter, Redux
• A holographic view on physics out of equilibrium
• Nonlinear Gravity from Entanglement in Conformal Field Theories
• Holographic Lovelock Gravities and Black Holes
• Introduction to Holographic Superconductor Models
• Holography for Schrodinger backgrounds
• Holography and wormholes in 2+1 dimensions
• Conceptual Aspects of Gauge/Gravity Duality
• Horizon constraints on holographic Green's functions
• Fermionic Operator Mixing in Holographic p-wave Superfluids
• Holographic Responses of Fermion Matter
• Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas
• Holographic Non-Gaussianity
• Landau diagrams in AdS and S-matrices from conformal correlators
• Real-time gauge/gravity duality and ingoing boundary conditions
• Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography
• Open quantum systems and Schwinger-Keldysh holograms
• From Euclidean Sources to Lorentzian Spacetimes in Holographic Conformal Field Theories
• Cauchy Slice Holography: A New AdS/CFT Dictionary
• The Holographic Universe
• On excited states in real-time AdS/CFT
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Hydrodynamic Long-Time tails From Anti de Sitter Space
• Black-hole quasinormal modes and scalar glueballs in a finite-temperature AdS/QCD model
• Fluctuation, dissipation, and thermalization in non-equilibrium AdS_5 black hole geometries
• Transport coefficients, membrane couplings and universality at extremality
• Real-time finite-temperature correlators from AdS/CFT
• Comments on Fermi Liquid from Holography
• Black holes in dS${}_3$
• Thermal Decay without Information Loss in Horizonless Microstate Geometries
• Holographic Schwinger-Keldysh effective field theories
• Real-time gravitational replicas: Formalism and a variational principle
• Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
• Black holes in a box: towards the numerical evolution of black holes in AdS
• Dual Gravitons in AdS4/CFT3 and the Holographic Cotton Tensor
• Gravitational quasinormal modes of AdS black branes in d spacetime dimensions
• Fermion correlators in non-abelian holographic superconductors
• Nonlinear Langevin dynamics via holography
• Fermionic pole-skipping in holography
• Bulk reconstruction and the Hartle-Hawking wavefunction
• Properties of CFTs dual to Charged BTZ black-hole
• The dynamics of quark-gluon plasma and AdS/CFT
• Soft photon theorems from CFT Ward identites in the flat limit of AdS/CFT
• Lorentzian threads as 'gatelines' and holographic complexity
• Comments on Thermalization in 2D CFT
• Holographic chaos, pole-skipping, and regularity
• Electromagnetic signatures of a strongly coupled anisotropic plasma
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Vector meson quasinormal modes in a finite-temperature AdS/QCD model
• A prescription for holographic Schwinger-Keldysh contour in non-equilibrium systems
• Pole skipping and chaos in anisotropic plasma: a holographic study
• Real time response on dS_3: the Topological AdS Black Hole and the Bubble
• A Killing Vector Treatment of Multiboundary Wormholes
• Effective field theory of stochastic diffusion from gravity
• Chaos and pole-skipping in a simply spinning plasma
• Homogeneous isotropization and equilibration of a strongly coupled plasma with a critical point
• Lorentzian AdS, Wormholes and Holography
• Holographic plasma and anyonic fluids
• 2-group global symmetries, hydrodynamics and holography
• Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity
• Heavy quark in an expanding plasma in AdS/CFT
• All order effective action for charge diffusion from Schwinger-Keldysh holography
• Stringy ER=EPR
• Spectral Representation of Thermal OTO Correlators
• Out of Time Ordered Quantum Dissipation
• Spatial correlators in strongly coupled plasmas
• Holographic excited states in AdS Black Holes
• The holographic entropy zoo
• Refined quantum Lyapunov exponents from replica out-of-time-order correlators
• Interacting fields in real-time AdS/CFT
• Modular Hamiltonian for (holographic) excited states
• Collective Excitations of Holographic Quantum Liquids in a Magnetic Field
• Thermal three-point functions from holographic Schwinger-Keldysh contours
• Generalized conformal structure, dilaton gravity and SYK
• Computing spacetime
• Real-Time Correlators and Non-Relativistic Holography
• Non-equilibrium scalar two point functions in AdS/CFT
• Moduli and electromagnetic black brane holography
• The Gravity Dual of Real-Time CFT at Finite Temperature
• Shear transport far from equilibrium via holography
• Aging and Holography
• Ginzburg-Landau effective action for a fluctuating holographic superconductor
• Holographic Hall conductivities from dyonic backgrounds
• Non-equilibrium fluctuation-dissipation relation from holography
• Fermions and the Sch/nrCFT Correspondence
• From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma
• Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
• A Scattering Amplitude for Massive Particles in AdS
• The timbre of Hawking gravitons: an effective description of energy transport from holography
• String Perturbation Theory on the Schwinger-Keldysh Time Contour
• Chromoelectric field correlator for quarkonium transport in the strongly coupled $\mathcal{N}=4$ Yang-Mills plasma from AdS/CFT
• Schwinger-Keldysh effective action for relativistic Brownian particle in AdS-CFT
• De Sitter-invariant States from Holography
• Gaugino mass in AdS space
• Holographic real-time non-relativistic correlators at zero and finite temperature
• Holographic KMS relations at finite density
• Open effective theory of scalar field in rotating plasma
• A moving mirror in AdS space as a toy model for holographic thermalization
• Radiation Gauge in AdS/QCD: inadmissibility and implications on spectral functions in the deconfined phase
• From sources to initial data and back again: on bulk singularities in Euclidean AdS/CFT
• Holographic Two-Point Functions in Conformal Gravity
• The holographic spectral function in non-equilibrium states
• Nonlocal multi-trace sources and bulk entanglement in holographic conformal field theories
• A strongly coupled anyon material
• A Bound on Thermal Relativistic Correlators at Large Spacelike Momenta
• Holographic CFT states for localized perturbations to AdS black holes
• On non-equilibrium physics and string theory
• Causality and the conformal boundary of AdS in real-time holography
• Holographic Schwinger-Keldysh field theory of SU(2) diffusion
• Correlation functions for Schrödinger backgrounds
• 4-point correlators in finite-temperature AdS/CFT: jet quenching correlations
• Holographic influence functional and its application to decoherence induced by quantum critical theories
• Holographic Construction of Excited CFT States
• Fermionic Schwinger-Keldysh Propagators from AdS/CFT
• Spectral function and quark diffusion constant in non-critical holographic QCD
• Toward Krylov-based holography in double-scaled SYK
• Holographic systems far from equilibrium: a review
• Fermionic Open EFT from Holography
• Electric conductivity in non-Hermitian holography
• Matrix Thermalization
• Holographic thermalization with initial long range correlation
• Effective Thermal Physics in Holography: A Brief Review
• Holographic thermal correlators: A tale of Fuchsian ODEs and integration contours
• Dynamics of Heavy Quarks in Strongly Coupled $\mathcal{N}=4$ SYM Plasma
• Thermalization of Holographic Excited States
• Holographic Renormalization for Fermions in Real Time
• Subvacuum effects in Quantum Critical Theories from Holographic Approach
• Finite Temperature Aging Holography
• QNM orthogonality relations for AdS black holes
• Boundary correlators and the Schwarzian mode
• Boundary Causality Violating Metrics in Holography
• Spinning Particle Geometries in AdS${}_3$/CFT${}_2$
• Holographic cosmology from "dimensional reduction" of $\mathcal{N}=4$ SYM vs. $Ad{S}_5\times S^5$
• Correlation functions of the Bjorken flow in the holographic Schwinger-Keldysh approach
• Symmetry breaking in holographic theories with Lifshitz scaling
• Linear gravity from conformal symmetry
• Topological confinement in Skyrme holography
• Wormholes, geons, and the illusion of the tensor product
• Chiral phase transition: effective field theory and holography
• Bulk Local Operators, Conformal Descendants and Radial Quantization
• Convergence of the Fefferman-Graham expansion and complex black hole anatomy
• Spacetime topology from holographic entanglement
• 2PI Effective Action and Evolution Equations of N = 4 super Yang-Mills
• Construction of Quantum Target Space from World-Sheet States using Quantum State Tomography
• Real-Time Holography and Hybrid WKB for BTZ Wormholes
• Complex Saddles of Charged-AdS Gravitational partition function
• Time-dependent Backgrounds in String Theory and Dualities
• Universal Equilibration Condition for Heavy Quarks
• Entanglement and Excitations in Gauge/Gravity Duality
• Q-Balls Meet Fuzzballs: Non-BPS Microstate Geometries