{
  "id": "hep-th/9901099",
  "version": "v5",
  "published": "1999-01-21T13:33:28.000Z",
  "updated": "1999-09-18T06:17:59.000Z",
  "title": "Chen's Iterated Integral represents the Operator Product Expansion",
  "authors": [
    "Dirk Kreimer"
  ],
  "comment": "35p, LaTeX, using epsf for four figures. References updated and typos corrected",
  "journal": "Adv.Theor.Math.Phys. 3 (2000) 3; Adv.Theor.Math.Phys. 3 (1999) 627-670",
  "categories": [
    "hep-th",
    "math-ph",
    "math.MP",
    "math.QA"
  ],
  "abstract": "The recently discovered formalism underlying renormalization theory, the Hopf algebra of rooted trees, allows to generalize Chen's lemma. In its generalized form it describes the change of a scale in Green functions, and hence relates to the operator product expansion. Hand in hand with this generalization goes the generalization of the ordinary factorial $n!$ to the tree factorial $t^!$. Various identities on tree-factorials are derived which clarify the relation between Connes-Moscovici weights and Quantum Field Theory.",
  "revisions": [
    {
      "version": "v5",
      "updated": "1999-09-18T06:17:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "operator product expansion",
      "chens iterated integral represents",
      "quantum field theory",
      "formalism underlying renormalization theory",
      "connes-moscovici weights"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 494333,
      "adsabs": "1999hep.th....1099K"
    }
  }
}