{
  "id": "math-ph/9903028",
  "version": "v1",
  "published": "1999-03-12T14:49:24.000Z",
  "updated": "1999-03-12T14:49:24.000Z",
  "title": "Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on Physical Backgrounds",
  "authors": [
    "Romeo Brunetti",
    "Klaus Fredenhagen"
  ],
  "comment": "38 pages, LaTeX with AMSLaTeX style option, Micro.tex macrofile",
  "journal": "Commun.Math.Phys.208:623-661,2000",
  "doi": "10.1007/s002200050004",
  "categories": [
    "math-ph",
    "gr-qc",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We present a perturbative construction of interacting quantum field theories on any smooth globally hyperbolic manifold. We develop a purely local version of the Stueckelberg-Bogoliubov-Epstein-Glaser method of renormalization using techniques from microlocal analysis. As byproducts, we describe a perturbative construction of local algebras of observables, present a new definition of Wick polynomials as operator-valued distributions on a natural domain, and we find a general method for the extension of distributions which were defined on the complement of some surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-03-12T14:49:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T05",
      "81T20"
    ],
    "keywords": [
      "interacting quantum field theories",
      "microlocal analysis",
      "physical backgrounds",
      "renormalization",
      "perturbative construction"
    ],
    "tags": [
      "journal article",
      "famous paper"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2000,
      "volume": 208,
      "number": 3,
      "pages": 623
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 497168,
      "adsabs": "2000CMaPh.208..623B"
    }
  }
}