{
  "id": "0904.2744",
  "version": "v2",
  "published": "2009-04-17T17:16:39.000Z",
  "updated": "2011-04-27T00:40:37.000Z",
  "title": "From the mass gap in O(N) to the non-Borel-summability in O(3) and O(4) sigma-models",
  "authors": [
    "Dmytro Volin"
  ],
  "comment": "4 pages; v2: +1 figure, typos corrected, formula (23) corrected; improved explanation and discussion throughout the text; references added",
  "journal": "Phys.Rev.D81:105008,2010",
  "doi": "10.1103/PhysRevD.81.105008",
  "categories": [
    "hep-th",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We give an analytical derivation of the mass gap of the O(N) sigma models and investigate a large-order behavior of the weak coupling asymptotic expansion for the energy. For sufficiently large N the series is sign-oscillating, which is expected from the large N solution of the sigma model. However, for N=3 and N=4 the series are sign positive.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-27T00:40:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.15.Tk",
      "02.30.Rz"
    ],
    "keywords": [
      "mass gap",
      "non-borel-summability",
      "sigma-models",
      "sigma model",
      "weak coupling asymptotic expansion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2010,
      "month": "May",
      "volume": 81,
      "number": 10,
      "pages": 105008
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 818229,
      "adsabs": "2010PhRvD..81j5008V"
    }
  }
}