{
  "id": "cond-mat/9808063",
  "version": "v1",
  "published": "1998-08-07T00:41:26.000Z",
  "updated": "1998-08-07T00:41:26.000Z",
  "title": "c-Theorem for Disordered Systems",
  "authors": [
    "V. Gurarie"
  ],
  "comment": "7 pages",
  "journal": "Nucl.Phys. B546 (1999) 765",
  "doi": "10.1016/S0550-3213(99)00013-9",
  "categories": [
    "cond-mat.dis-nn",
    "hep-th"
  ],
  "abstract": "We find an analog of Zamolodchikov's c-theorem for disordered two dimensional noninteracting systems in their supersymmetric representation. For this purpose we introduce a new parameter b which flows along the renormalization group trajectories much like the central charge for unitary two dimensional field theories. However, it is not known yet if this flow is irreversible. b turns out to be related to the central extension of a certain algebra, a generalization of the Virasoro algebra, which we show may be present at the critical points of these theories. b is also related to the physical free energy of the disordered system defined on a cylinder. We discuss possible applications by computing b for two dimensional Dirac fermions with random gauge potential.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-08-07T00:41:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "disordered system",
      "renormalization group trajectories",
      "dimensional field theories",
      "dimensional dirac fermions",
      "random gauge potential"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 509089
    }
  }
}