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The Feynman Propagator on Perturbations of Minkowski Space

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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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Author information

Authors and Affiliations

  1. Department of Mathematics, Johns Hopkins University, Baltimore, MD, 21218, USA

    Jesse Gell-Redman

  2. MSRI, Berkeley and McGill University, Montreal, Canada

    Nick Haber

  3. Department of Mathematics, Stanford University, Stanford, CA, 94305-2125, USA

    András Vasy

Authors
  1. Jesse Gell-Redman
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  2. Nick Haber
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  3. András Vasy
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Corresponding author

Correspondence to Jesse Gell-Redman.

Additional information

Communicated by P. T. Chruściel

A. Vasy gratefully acknowledges partial support from the NSF under Grant number DMS-1068742 and DMS-1361432.

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Gell-Redman, J., Haber, N. & Vasy, A. The Feynman Propagator on Perturbations of Minkowski Space. Commun. Math. Phys. 342, 333–384 (2016). https://doi.org/10.1007/s00220-015-2520-8

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  • DOI: https://doi.org/10.1007/s00220-015-2520-8

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