Microlocal analysis of quantum fields on curved spacetimes

DOI10.4171/094zbMath1444.35008arXiv1901.10175OpenAlexW2911970693MaRDI QIDQ2336074

Christian Gérard

Publication date: 18 November 2019

Published in: ESI Lectures in Mathematics and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.10175

zbMATH Keywords

CCR algebrasKlein-Gordon fields, Hadamard states

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Pseudodifferential and Fourier integral operators on manifolds (58J40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for first-order hyperbolic systems (35L45) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Hyperbolic equations on manifolds (58J45) Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Thermal quantum field theory (81T28)

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