{
  "id": "1301.5420",
  "version": "v3",
  "published": "2013-01-23T07:36:34.000Z",
  "updated": "2014-04-22T11:53:15.000Z",
  "title": "A Non-Perturbative Construction of the Fermionic Projector on Globally Hyperbolic Manifolds I - Space-Times of Finite Lifetime",
  "authors": [
    "Felix Finster",
    "Moritz Reintjes"
  ],
  "comment": "29 pages, LaTeX, 1 figure, generalization to arbitrary dimension",
  "categories": [
    "math-ph",
    "gr-qc",
    "math.FA",
    "math.MP"
  ],
  "abstract": "We give a functional analytic construction of the fermionic projector on a globally hyperbolic Lorentzian manifold of finite lifetime. The integral kernel of the fermionic projector is represented by a two-point distribution on the manifold. By introducing an ultraviolet regularization, we get to the framework of causal fermion systems. The connection to the \"negative-energy solutions\" of the Dirac equation and to the WKB approximation is explained and quantified by a detailed analysis of closed Friedmann-Robertson-Walker universes.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-04-22T11:53:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fermionic projector",
      "globally hyperbolic manifolds",
      "finite lifetime",
      "non-perturbative construction",
      "space-times"
    ],
    "publication": {
      "doi": "10.4310/ATMP.2015.v19.n4.a3"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1215758,
      "adsabs": "2013arXiv1301.5420F"
    }
  }
}