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arXiv · 1410.7113

The Feynman propagator on perturbations of Minkowski space

Jesse Gell-Redman·Nick Haber·András Vasy
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Abstract

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.

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Jesse Gell-Redman, Nick Haber, András Vasy. 2016-04-12. The Feynman propagator on perturbations of Minkowski space. https://doi.org/10.1007/s00220-015-2520-8

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