{
  "id": "0807.2630",
  "version": "v1",
  "published": "2008-07-16T19:32:37.000Z",
  "updated": "2008-07-16T19:32:37.000Z",
  "title": "Group-quantization of non-linear sigma models: particle on S^2 revisited",
  "authors": [
    "V. Aldaya",
    "M. Calixto",
    "J. Guerrero",
    "F. F. López-Ruiz"
  ],
  "comment": "8 pages",
  "journal": "Rept.Math.Phys.64:49-58,2009",
  "doi": "10.1016/S0034-4877(09)90019-2",
  "categories": [
    "hep-th"
  ],
  "abstract": "We present the quantum mechanics of \"partial-trace\" non-linear sigma models, on the grounds of a fully symmetry-based procedure. After the general scheme is sketched, the particular example of a particle on the two-sphere is explicitly developed. As a remarkable feature, no explicit constraint treatment is required nor ordering ambiguities do appear. Moreover, the energy spectrum is recovered without extra terms in the curvature of the sphere.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-16T19:32:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.45.-a",
      "11.30.-j",
      "03.65.-w"
    ],
    "keywords": [
      "non-linear sigma models",
      "group-quantization",
      "explicit constraint treatment",
      "general scheme",
      "extra terms"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Reports on Mathematical Physics",
      "year": 2009,
      "month": "Aug",
      "volume": 64,
      "number": 1,
      "pages": 49
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 790896,
      "adsabs": "2009RpMP...64...49A"
    }
  }
}