{
  "id": "cond-mat/9801098",
  "version": "v1",
  "published": "1998-01-12T12:48:48.000Z",
  "updated": "1998-01-12T12:48:48.000Z",
  "title": "Effective potential in three-dimensional O(N) models",
  "authors": [
    "A. Pelissetto",
    "E. Vicari"
  ],
  "comment": "22 pages, revtex, 2 figs",
  "journal": "Nucl.Phys. B522 (1998) 605-624",
  "doi": "10.1016/S0550-3213(98)00257-0",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat",
    "hep-th"
  ],
  "abstract": "We consider the effective potential in three-dimensional models with O(N) symmetry. For generic values of N, and in particular for the physically interesting cases N=0,1,2,3, we determine the six-point and eight-point renormalized coupling constants which parametrize its small-field expansion. These estimates are obtained from the analysis of their $\\epsilon$-expansion, taking into account the exact results in one and zero dimensions, and, for the Ising model (i.e. N=1), the accurate high-temperature estimates in two dimensions. They are compared with the available results from other approaches. We also obtain corresponding estimates for the two-dimensional O($N$) models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-01-12T12:48:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Jk",
      "64.60.Fr",
      "05.50.+q",
      "75.10.Hk",
      "11.10.Kk",
      "11.15.Tk"
    ],
    "keywords": [
      "effective potential",
      "accurate high-temperature estimates",
      "generic values",
      "three-dimensional models",
      "zero dimensions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 467435
    }
  }
}