Hadamard property of the \textit{in} and \textit{out} states for Klein-Gordon fields on asymptotically static spacetimes

DOI10.1007/s00023-017-0573-2zbMath1373.81365arXiv1609.00190OpenAlexW2469500253MaRDI QIDQ2407047

Christian Gérard, Michał Wrochna

Publication date: 28 September 2017

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00190

Mathematics Subject Classification ID

Model quantum field theories (81T10) Quantum field theory on curved space or space-time backgrounds (81T20) (2)-body potential quantum scattering theory (81U05)

Related Items (12)

Hadamard property of the \textit{in} and \textit{out} states for Dirac fields on asymptotically static spacetimes ⋮ Constructing Hadamard states via an extended Møller operator ⋮ Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces ⋮ Bogolyubov invariant via relative spectral invariants on manifolds ⋮ An index theorem on asymptotically static spacetimes with compact Cauchy surface ⋮ The Unruh state for massless fermions on Kerr spacetime and its Hadamard property ⋮ Essential self-adjointness of Klein-Gordon type operators on asymptotically static, Cauchy-compact spacetimes ⋮ Conformal extension of the Bunch-Davies state across the de Sitter boundary ⋮ Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces ⋮ Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes ⋮ Quantum fields from global propagators on asymptotically Minkowski and extended de Sitter spacetimes ⋮ Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry

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