The Feynman propagator on perturbations of Minkowski space
Analysis of PDEs
2016-04-20 v3
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.
Keywords
Cite
@article{arxiv.1410.7113,
title = {The Feynman propagator on perturbations of Minkowski space},
author = {Jesse Gell-Redman and Nick Haber and András Vasy},
journal= {arXiv preprint arXiv:1410.7113},
year = {2016}
}
Comments
Final published version. 50 pages, 4 figures. Typos corrected and explanatory remarks added