{
  "id": "1211.4466",
  "version": "v1",
  "published": "2012-11-19T15:41:20.000Z",
  "updated": "2012-11-19T15:41:20.000Z",
  "title": "Dynkin operators, renormalization and the geometric $β$ function",
  "authors": [
    "Susama Agarwala"
  ],
  "categories": [
    "math-ph",
    "hep-th",
    "math.DS",
    "math.MP"
  ],
  "abstract": "In this paper, I show a close connection between renormalization and a generalization of the Dynkin operator in terms of logarithmic derivations. The geometric $\\beta$ function, which describes the dependence of a Quantum Field Theory on an energy scale defines is defined by a complete vector field on a Lie group $G$ defined by a QFT. It also defines a generalized Dynkin operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-19T15:41:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "renormalization",
      "complete vector field",
      "energy scale defines",
      "quantum field theory",
      "lie group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1203177,
      "adsabs": "2012arXiv1211.4466A"
    }
  }
}