The massive Feynman propagator on asymptotically Minkowski spacetimes

DOI10.1353/ajm.2019.0042zbMath1450.83003arXiv1609.00192OpenAlexW2472807523WikidataQ126846286 ScholiaQ126846286MaRDI QIDQ5208855

Christian Gérard, Michał Wrochna

Publication date: 22 January 2020

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00192

zbMATH Keywords

Fourier transformdistributionsFredholm operatorasymptotically flat spacetimeFeynman parametrixsolution of the Klein-Gordon equation

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Wave equation (35L05) Applications of differential geometry to physics (53Z05) Special relativity (83A05) (2)-body potential quantum scattering theory (81U05) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Weak solutions to PDEs (35D30) Exact solutions to problems in general relativity and gravitational theory (83C15) Initial value problems for second-order hyperbolic equations (35L15) Second-order hyperbolic equations (35L10)

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