The massive Feynman propagator on asymptotically Minkowski spacetimes II
| Autor: | Michał Wrochna, Christian Gérard |
|---|---|
| Přispěvatelé: | Laboratoire de Mathématiques d'Orsay (LM-Orsay), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11), Institut Fourier (IF ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), Laboratoire de Mathématiques d'Orsay ( LM-Orsay ), Université Paris-Sud - Paris 11 ( UP11 ) -Centre National de la Recherche Scientifique ( CNRS ), Institut Fourier ( IF ), Centre National de la Recherche Scientifique ( CNRS ) -Université Grenoble Alpes ( UGA ), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS), Institut Fourier (IF), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
General Mathematics
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] Mathematics::Analysis of PDEs FOS: Physical sciences 01 natural sciences Mathematics - Analysis of PDEs [ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP] 0103 physical sciences Minkowski space FOS: Mathematics [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 0101 mathematics Mathematical Physics Mathematical physics Mathematics scattering theory Feynman propagators 010102 general mathematics Propagator Mathematical Physics (math-ph) Mathematics::Spectral Theory Quantum Field Theory on curved spacetimes pseudodifferential calculus [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] 010307 mathematical physics Analysis of PDEs (math.AP) |
| Popis: | We consider the massive Klein–Gordon equation on short-range asymptotically Minkowski spacetimes. Extending our results in [7], we show that the Klein–Gordon operator with Feynman-type boundary conditions at infinite times is invertible and that its inverse, called the Feynman inverse, satisfies the microlocal conditions of Feynman parametrices in the sense of Duistermaat and Hörmander. This supplements the recent work of Vasy [10] with more explicit techniques. |
| Databáze: | OpenAIRE |
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