{
  "id": "0801.3170",
  "version": "v1",
  "published": "2008-01-21T10:50:10.000Z",
  "updated": "2008-01-21T10:50:10.000Z",
  "title": "Renormalization of gauge fields using Hopf algebras",
  "authors": [
    "Walter D. van Suijlekom"
  ],
  "comment": "16 pages, 1 figure; uses feynmp. To appear in \"Recent Developments in Quantum Field Theory\". Eds. B. Fauser, J. Tolksdorf and E. Zeidler. Birkhauser Verlag, Basel 2008",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We describe the Hopf algebraic structure of Feynman graphs for non-abelian gauge theories, and prove compatibility of the so-called Slavnov-Taylor identities with the coproduct. When these identities are taken into account, the coproduct closes on the Green's functions, which thus generate a Hopf subalgebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-21T10:50:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge fields",
      "hopf algebras",
      "renormalization",
      "non-abelian gauge theories",
      "hopf algebraic structure"
    ],
    "publication": {
      "doi": "10.1007/978-3-7643-8736-5_8"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 778104,
      "adsabs": "2009qft..book..137V"
    }
  }
}