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arXiv:1410.7113 [math.AP]AbstractReferencesReviewsResources

The Feynman propagator on perturbations of Minkowski space

Jesse Gell-Redman, Nick Haber, András Vasy

Published 2014-10-27Version 1

In this paper we analyze the Feynman wave equation on Lorentzian scattering spaces. We prove that the Feynman propagator exists as a map between certain Banach spaces defined by decay and microlocal Sobolev regularity properties. We go on to show that certain nonlinear wave equations arising in QFT are well-posed for small data in the Feynman setting.

Comments: 42 pages, 4 figures
Categories: math.AP
Subjects: 35P25, 35S05, 47A53, 81Q12, 35L71
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