The holographic Hadamard condition on asymptotically anti-de Sitter spacetimes (Q1683796): Difference between revisions

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English	The holographic Hadamard condition on asymptotically anti-de Sitter spacetimes	scientific article

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scholarly article

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The holographic Hadamard condition on asymptotically anti-de Sitter spacetimes (English)

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Michał Wrochna

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Letters in Mathematical Physics

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publication date

1 December 2017

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full work available at URL

https://arxiv.org/abs/1612.01203

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zbMATH Keywords

quantum field theory on curved spacetimes

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asymptotically anti-de Sitter spacetimes

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holography

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Hadamard condition

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MaRDI profile type

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The Dirac system on the anti-de Sitter universe

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The Klein-Gordon equation in the anti-de Sitter cosmology

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New dynamics in the anti-de Sitter universe \(AdS^5\)

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On the Klein-Gordon equation near a de Sitter brane

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Models of Free Quantum Field Theories on Curved Backgrounds

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Wave equations on Lorentzian manifolds and quantization.

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Towards a general theory of quantized fields on the anti-de Sitter space-time

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Microlocal analysis and interacting quantum field theories: renormalization on physical back\-grounds.

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‘Vacuum-like’ Hadamard states for quantum fields on curved spacetimes

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Hadamard state in Schwarzschild–de Sitter spacetime

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An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity

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Boundedness and growth for the massive wave equation on asymptotically anti-de Sitter black holes

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Unstable mode solutions to the Klein-Gordon equation in Kerr-anti-de Sitter spacetimes

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Fourier integral operators. II

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A comment on the dual field in the AdS-CFT correspondence

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Generalized free fields and the AdS-CFT correspondence

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Protecting the conformal symmetry via bulk renormalization on anti deSitter space

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On Schrödinger operators with inverse square potentials on the half-line

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A singular initial-boundary value problem for nonlinear wave equations and holography in asymptotically anti-de Sitter spaces

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The fermionic projector in a time-dependent external potential: Mass oscillation property and Hadamard states

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Singularity structure of the two-point function in quantum field theory in curved spacetime. II

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Mathematical aspects of quantum field theories. Contributions of the Les Houches winter school `Mathematical aspects of field theories', Les Houches, France, January and February 2012

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Quantum field theory on curved spacetimes: axiomatic framework and examples

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Singularity structure of the two-point function in quantum field theory in curved spacetime

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The necessity of the Hadamard condition

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Algebraic Quantum Field Theory in Curved Spacetimes

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Elliptic boundary value problems for Bessel operators, with applications to anti-de Sitter spacetimes

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Existence of quasinormal modes for Kerr-AdS black holes

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The Feynman propagator on perturbations of Minkowski space

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Einstein metrics with prescribed conformal infinity on the ball

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Poincaré–Einstein holography for forms via conformal geometry in the bulk

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Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry

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Boundary calculus for conformally compact manifolds

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Construction of Hadamard states by pseudo-differential calculus

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Asymptotic properties of linear field equations in anti-De Sitter space

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The Hadamard condition for Dirac fields and adiabatic states on Robertson-Walker spacetimes

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Well-posedness for the massive wave equation on asymptotically anti-de Sitter spacetimes

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The analysis of linear partial differential operators. III: Pseudo-differential operators

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Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes

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The global non-linear stability of the Kerr-de Sitter family of black holes

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Existence of local covariant time ordered products of quantum fields in curved spacetime

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CONSERVATION OF THE STRESS TENSOR IN PERTURBATIVE INTERACTING QUANTUM FIELD THEORY IN CURVED SPACETIMES

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Quantum fields in curved spacetime

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Scattering theory for the Dirac equation in Schwarzschild-anti-de Sitter space-time

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Dynamics in non-globally-hyperbolic static spacetimes: II. General analysis of prescriptions for dynamics

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Dynamics in non-globally-hyperbolic static spacetimes: III. Anti-de Sitter spacetime

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HADAMARD STATES, ADIABATIC VACUA AND THE CONSTRUCTION OF PHYSICAL STATES FOR SCALAR QUANTUM FIELDS ON CURVED SPACETIME

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THE PRINCIPLE OF LOCALITY AND QUANTUM FIELD THEORY ON (NON GLOBALLY HYPERBOLIC) CURVED SPACETIMES

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Algebraic QFT in Curved Spacetime and Quasifree Hadamard States: An Introduction

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Brick walls and AdS/CFT

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Schrödinger Operators on a Half-Line with Inverse Square Potentials

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Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon

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Propagation des ondes dans les variétés à coins

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The large-\(N\) limit of superconformal field theories and supergravity

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Transformation of boundary problems

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Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature

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Micro-local approach to the Hadamard condition in quantum field theory on curved space-time

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A local-to-global singularity theorem for quantum field theory on curved space-time (with an appendix by Rainer Verch)

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Local quantum observables in the anti-de-Sitter-conformal QFT correspondence

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Algebraic holography

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Equivalence of the (generalised) Hadamard and microlocal spectrum condition for (generalised) free fields in curved spacetime

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On the construction of Hartle-Hawking-Israel states across a static bifurcate Killing horizon

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On the geometry of static spacetimes

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MICROLOCAL SPECTRUM CONDITION AND HADAMARD FORM FOR VECTOR-VALUED QUANTUM FIELDS IN CURVED SPACETIME

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Propagation of singularities for the wave equation on manifolds with corners

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DIFFRACTION BY EDGES

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The wave equation on asymptotically de Sitter-like spaces

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The wave equation on asymptotically anti de Sitter spaces

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On the positivity of propagator differences

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Quantum fields from global propagators on asymptotically Minkowski and extended de Sitter spacetimes

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The massive wave equation in asymptotically AdS spacetimes

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On quasinormal modes of asymptotically anti-de Sitter black holes

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S11005-017-0988-1

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Sitelinks

Mathematics(1 entry)

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