{
  "id": "hep-th/9412183",
  "version": "v1",
  "published": "1994-12-21T07:34:29.000Z",
  "updated": "1994-12-21T07:34:29.000Z",
  "title": "Gap Equations of O(N) Non-linear Sigma Model in Three Dimensions",
  "authors": [
    "Kazuto Oshima"
  ],
  "comment": "10pages,Latex",
  "categories": [
    "hep-th"
  ],
  "abstract": "We study the $O(N)$ non-linear $\\sigma$ model on three-dimensional manifolds of constant curvature by means of the large $N$ expansion at the critical point. We examine saddle point equations imposing anti-periodic boundary condition in time direction. In the case $S^1 \\times S^2$ we find that a solution is inevitably unstable. We briefly refer to the case $S^1 \\times S^1 \\times S^1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-12-21T07:34:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-linear sigma model",
      "gap equations",
      "saddle point equations imposing anti-periodic",
      "point equations imposing anti-periodic boundary",
      "equations imposing anti-periodic boundary condition"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 381682
    }
  }
}