{
  "id": "hep-th/9503126",
  "version": "v1",
  "published": "1995-03-20T21:55:48.000Z",
  "updated": "1995-03-20T21:55:48.000Z",
  "title": "Anyons in 1+1 Dimensions",
  "authors": [
    "Jorge Gamboa",
    "Jorge Zanelli"
  ],
  "comment": "13p. latex (Revtex), no figures.",
  "journal": "Phys.Lett. B357 (1995) 131-137",
  "doi": "10.1016/0370-2693(95)00863-G",
  "categories": [
    "hep-th",
    "cond-mat"
  ],
  "abstract": "The possibility of excitations with fractional spin and statististics in $1+1$ dimensions is explored. The configuration space of a two-particle system is the half-line. This makes the Hamiltonian self-adjoint for a family of boundary conditions parametrized by one real number $\\gamma$. The limit $\\gamma \\rightarrow 0, (\\infty$) reproduces the propagator of non-relativistic particles whose wavefunctions are even (odd) under particle exchange. A relativistic ansatz is also proposed which reproduces the correct Polyakov spin factor for the spinning particle in $1+1$ dimensions. These checks support validity of the interpretation of $\\gamma$ as a parameter related to the ``spin'' that interpolates continuously between bosons ($\\gamma =0$) and fermions ($\\gamma =\\infty$). Our approach can thus be useful for obtaining the propagator for one-dimensional anyons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-03-20T21:55:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensions",
      "correct polyakov spin factor",
      "checks support validity",
      "one-dimensional anyons",
      "configuration space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 393569
    }
  }
}