{
  "id": "hep-th/0111148",
  "version": "v1",
  "published": "2001-11-16T04:22:23.000Z",
  "updated": "2001-11-16T04:22:23.000Z",
  "title": "Exact Solutions to the Two-dimensional BF and Yang-Mills Theories in the Light-cone Gauge",
  "authors": [
    "Mitsuo Abe",
    "Noboru Nakanishi"
  ],
  "comment": "11 pages, LaTeX",
  "journal": "Int.J.Mod.Phys. A17 (2002) 1491-1502",
  "doi": "10.1142/S0217751X02009825",
  "categories": [
    "hep-th"
  ],
  "abstract": "It is shown that the BRS-formulated two-dimensional BF theory in the light-cone gauge (coupled with chiral Dirac fields) is solved very easily in the Heisenberg picture. The structure of the exact solution is very similar to that of the BRS-formulated two-dimensional quantum gravity in the conformal gauge. In particular, the BRS Noether charge has anomaly. Based on this fact, a criticism is made on the reasoning of Kato and Ogawa, who derived the critical dimension D=26 of string theory on the basis of the anomaly of the BRS Noether charge. By adding the $\\widetilde{B}^2$ term to the BF-theory Lagrangian density, the exact solution to the two-dimensional Yang-Mills theory is also obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-11-16T04:22:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact solution",
      "light-cone gauge",
      "brs noether charge",
      "brs-formulated two-dimensional bf theory",
      "chiral dirac fields"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 566772
    }
  }
}