{
  "id": "0910.0351",
  "version": "v1",
  "published": "2009-10-02T08:53:52.000Z",
  "updated": "2009-10-02T08:53:52.000Z",
  "title": "Perturbative construction of the two-dimensional O(N) non-linear sigma model with ERG",
  "authors": [
    "Bekir Can Lutfuoglu",
    "Hidenori Sonoda"
  ],
  "comment": "16 pages, 4 figures",
  "categories": [
    "hep-th"
  ],
  "abstract": "We use the exact renormalization group (ERG) perturbatively to construct the Wilson action for the two-dimensional O(N) non-linear sigma model. The construction amounts to regularization of a non-linear symmetry with a momentum cutoff. A quadratically divergent potential is generated by the momentum cutoff, but its non-invariance is compensated by the jacobian of the non-linear symmetry transformation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-02T08:53:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.30.Na",
      "11.10.Gh",
      "11.10.Kk"
    ],
    "keywords": [
      "non-linear sigma model",
      "perturbative construction",
      "two-dimensional",
      "momentum cutoff",
      "non-linear symmetry transformation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 832844,
      "adsabs": "2009arXiv0910.0351L"
    }
  }
}