Thermal out-of-time-order correlators, KMS relations, and spectral functions

DOI10.1007/JHEP12(2017)154zbMath1383.81223arXiv1706.08956OpenAlexW2724303056MaRDI QIDQ1707818

R. Loganayagam, Amin A. Nizami, Felix M. Haehl, Mukund Rangamani, Prithvi Narayan

Publication date: 3 April 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08956

zbMATH Keywords

stochastic processesAdS-CFT correspondencequantum dissipative systemsthermal field theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of statistics to physics (62P35) Methods of quantum field theory in general relativity and gravitational theory (83C47) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Thermal quantum field theory (81T28)

Related Items (14)

The conformal bootstrap at finite temperature ⋮ Effective field theory for chaotic CFTs ⋮ Effective action for relativistic hydrodynamics: fluctuations, dissipation, and entropy inflow ⋮ CFT unitarity and the AdS Cutkosky rules ⋮ Renormalization in open quantum field theory. I: Scalar field theory ⋮ Thermal out-of-time-order correlators, KMS relations, and spectral functions ⋮ Open quantum systems and Schwinger-Keldysh holograms ⋮ On the Virasoro six-point identity block and chaos ⋮ Spectral representation of thermal OTO correlators ⋮ Six-point functions and collisions in the black hole interior ⋮ Dissipative hydrodynamics in superspace ⋮ Probing out-of-time-order correlators ⋮ Out of time ordered quantum dissipation ⋮ OPE statistics from higher-point crossing

Cites Work

• Black holes and the butterfly effect
• Enumerating permutations by their run structure
• Schwinger-Keldysh formalism. I: BRST symmetries and superspace
• Schwinger-Keldysh formalism. II: Thermal equivariant cohomology
• Index summation in real time statistical field theory
• Path integral approach to quantum Brownian motion
• Retarded-advanced \(N\)-point Green functions in thermal field theories
• Chaos in quantum channels
• Relative entropy equals bulk relative entropy
• A bound on chaos
• Chaos and complexity by design
• Bulk locality from modular flow
• Chaos, complexity, and random matrices
• Thermal out-of-time-order correlators, KMS relations, and spectral functions
• On the equilibrium states in quantum statistical mechanics
• Theory of Many-Particle Systems. I

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