{
  "id": "1008.0129",
  "version": "v2",
  "published": "2010-07-31T22:51:13.000Z",
  "updated": "2011-03-09T21:19:22.000Z",
  "title": "Renormalization and quantum field theory",
  "authors": [
    "R. E. Borcherds"
  ],
  "comment": "30 pages Revised version fixes a gap in the definition of Feynman measure, and has other minor changes",
  "journal": "Algebra & Number Theory 5-5 (2011), 627-658",
  "doi": "10.2140/ant.2011.5.627",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The aim of this paper is to describe how to use regularization and renormalization to construct a perturbative quantum field theory from a Lagrangian. We first define renormalizations and Feynman measures, and show that although there need not exist a canonical Feynman measure, there is a canonical orbit of Feynman measures under renormalization. We then construct a perturbative quantum field theory from a Lagrangian and a Feynman measure, and show that it satisfies perturbative analogues of the Wightman axioms, extended to allow time-ordered composite operators over curved spacetimes.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-03-09T21:19:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T15"
    ],
    "keywords": [
      "perturbative quantum field theory",
      "first define renormalizations",
      "lagrangian",
      "canonical feynman measure",
      "satisfies perturbative analogues"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 864332,
      "adsabs": "2010arXiv1008.0129B"
    }
  }
}