Construction of Hadamard states by characteristic Cauchy problem

DOI10.2140/apde.2016.9.111zbMath1334.83020arXiv1409.6691OpenAlexW1774886715WikidataQ124968774 ScholiaQ124968774MaRDI QIDQ2634833

Christian Gérard, Michał Wrochna

Publication date: 19 February 2016

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6691

zbMATH Keywords

microlocal spectrum conditionglobally hyperbolic spacetimeHadamard statespseudodifferential calculuscharacteristic Cauchy problemcurved spacetimesKlein-Gordon fieldsfuture lightcone

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Wave equation (35L05) Quantum field theory on curved space or space-time backgrounds (81T20) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of quantum field theory in general relativity and gravitational theory (83C47)

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