The massive Feynman propagator on asymptotically Minkowski spacetimes II

Christian Gérard (1) , Michał Wrochna (2)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay
2 IF - Institut Fourier

We consider the massive Klein-Gordon equation on short-range asymptotically Minkowski spacetimes. Extending our results in [GW1], 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 H\"ormander. This supplements the recent work of Vasy with more explicit techniques.

Mots clés: scattering theory; Quantum Field Theory on curved spacetimes; pseudodifferential calculus; Feynman propagators

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]

Christian Gérard, Michał Wrochna. The massive Feynman propagator on asymptotically Minkowski spacetimes II. 2018. ⟨hal-01813568⟩