{
  "id": "1101.0963",
  "version": "v2",
  "published": "2011-01-05T13:26:02.000Z",
  "updated": "2011-02-10T09:42:47.000Z",
  "title": "Perturbative analysis of the gradient flow in non-abelian gauge theories",
  "authors": [
    "Martin Lüscher",
    "Peter Weisz"
  ],
  "comment": "Plain TeX source, 28 pages, 14 figures; v2: typos corrected, agrees with published version",
  "journal": "JHEP 1102:051,2011",
  "doi": "10.1007/JHEP02(2011)051",
  "categories": [
    "hep-th",
    "hep-lat"
  ],
  "abstract": "The gradient flow in non-abelian gauge theories on R^4 is defined by a local diffusion equation that evolves the gauge field as a function of the flow time in a gauge-covariant manner. Similarly to the case of the Langevin equation, the correlation functions of the time-dependent field can be expanded in perturbation theory, the Feynman rules being those of a renormalizable field theory on R^4 x [0,oo). For any matter multiplet and to all loop orders, we show that the correlation functions are finite, i.e. do not require additional renormalization, once the theory in four dimensions is renormalized in the usual way. The flow thus maps the gauge field to a one-parameter family of smooth renormalized fields.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-10T09:42:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-abelian gauge theories",
      "gradient flow",
      "perturbative analysis",
      "gauge field",
      "correlation functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Journal of High Energy Physics",
      "year": 2011,
      "month": "Feb",
      "volume": 2011,
      "pages": 51
    },
    "note": {
      "typesetting": "Plain TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 883361,
      "adsabs": "2011JHEP...02..051L"
    }
  }
}