{
  "id": "cond-mat/0404217",
  "version": "v1",
  "published": "2004-04-08T19:13:41.000Z",
  "updated": "2004-04-08T19:13:41.000Z",
  "title": "Universality classes of three-dimensional $mn$-vector model",
  "authors": [
    "M. Dudka",
    "Yu. Holovatch",
    "T. Yavors'kii"
  ],
  "comment": "9 pages, 1 figure",
  "journal": "J. Phys. A: Math. Gen. 37 (2004) 10727-10734",
  "doi": "10.1088/0305-4470/37/45/002",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the conditions under which the critical behavior of the three-dimensional $mn$-vector model does not belong to the spherically symmetrical universality class. In the calculations we rely on the field-theoretical renormalization group approach in different regularization schemes adjusted by resummation and extended analysis of the series for renormalization-group functions which are known for the model in high orders of perturbation theory. The phase diagram of the three-dimensional $mn$-vector model is built marking out domains in the $mn$-plane where the model belongs to a given universality class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-04-08T19:13:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vector model",
      "universality classes",
      "three-dimensional",
      "field-theoretical renormalization group approach",
      "renormalization-group functions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}