{
  "id": "2001.00104",
  "version": "v1",
  "published": "2019-12-31T22:50:07.000Z",
  "updated": "2019-12-31T22:50:07.000Z",
  "title": "Gauge Symmetries and Renormalization",
  "authors": [
    "David Prinz"
  ],
  "comment": "29 pages, 3 figues, article",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "The preservation of gauge symmetries to the quantum level induces symmetries between renormalized Green's functions. These symmetries are known by the names of Ward-Takahashi and Slavnov-Taylor identities. On a perturbative level, these symmetries can be implemented as Hopf ideals in the Connes-Kreimer renormalization Hopf algebra. In this article, we generalize the existing literature to the most general case by first motivating these symmetries on a generic level and then proving that they indeed generate Hopf ideals, where we also include the more involved cases of super- and non-renormalizable local QFTs. Finally, we provide a criterion for their validity on the level of renormalized Feynman rules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-31T22:50:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T13"
    ],
    "keywords": [
      "gauge symmetries",
      "connes-kreimer renormalization hopf algebra",
      "quantum level induces symmetries",
      "generate hopf ideals",
      "feynman rules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}