{
  "id": "1208.2744",
  "version": "v1",
  "published": "2012-08-14T01:20:49.000Z",
  "updated": "2012-08-14T01:20:49.000Z",
  "title": "The Cornerstone Of Spin Statistics Connection: The SU(2)$\\times$ C $\\times$ T Symmetry",
  "authors": [
    "Biao Lian"
  ],
  "comment": "5 pages, 1 figure",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We investigate the intrinsic reason for spin statistics connection. It is found that if a free field theory is rotationally (SU(2)) invariant, and has time reversal ($T$) and charge conjugation ($C$) symmetries, it obeys the spin statistics connection, except for a special case. Shr{\\\"o}dinger equation belongs to this special case, and does not obey spin statistics connection. Further we show that if the energy spectrum of a particle $E(p)$ takes the form of a square root, namely contains branch points in the complex $p$ plane, the particle cannot belong to this special case, and must obey the spin statistics connection. This conclusion includes the relativistic particles as a particular example.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-14T01:20:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "special case",
      "obey spin statistics connection",
      "cornerstone",
      "free field theory",
      "contains branch points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1127830,
      "adsabs": "2012arXiv1208.2744L"
    }
  }
}