{
  "id": "1410.7113",
  "version": "v1",
  "published": "2014-10-27T03:28:08.000Z",
  "updated": "2014-10-27T03:28:08.000Z",
  "title": "The Feynman propagator on perturbations of Minkowski space",
  "authors": [
    "Jesse Gell-Redman",
    "Nick Haber",
    "András Vasy"
  ],
  "comment": "42 pages, 4 figures",
  "categories": [
    "math.AP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-27T03:28:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P25",
      "35S05",
      "47A53",
      "81Q12",
      "35L71"
    ],
    "keywords": [
      "feynman propagator",
      "minkowski space",
      "microlocal sobolev regularity properties",
      "perturbations",
      "feynman wave equation"
    ],
    "publication": {
      "doi": "10.1007/s00220-015-2520-8",
      "journal": "Communications in Mathematical Physics",
      "year": 2016,
      "month": "Feb",
      "volume": 342,
      "number": 1,
      "pages": 333
    },
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1324464,
      "adsabs": "2016CMaPh.342..333G"
    }
  }
}