{
  "id": "cond-mat/9906405",
  "version": "v2",
  "published": "1999-06-28T02:01:11.000Z",
  "updated": "2000-02-16T03:16:12.000Z",
  "title": "Stability of a fixed point in the replica action for the random field Ising model",
  "authors": [
    "Hisamitsu Mukaida",
    "Yoshinori Sakamoto"
  ],
  "comment": "9 pages, 2 figures, LaTeX2e, major revision, the RG method same as Brezin and De Dominisis (Europhys. Lett. 44(1998) 13) is used for ease of comparison",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We reconsider stability of the non-trivial fixed point in $6-\\epsilon $ dimensional effective action for the random field Ising model derived by Br\\'{e}zin and De Dominicis. After expansion parameters of physical observables are clarified, we find that the non-trivial fixed point in $6-\\epsilon$ dimensions is stable, contrary to the argument by Br\\'{e}zin and De Dominicis. We also computed the exponents $\\nu$ and $\\eta$ by the $\\epsilon$ expansion. The results are consistent with the argument of the dimensional reduction at least in the leading order.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-02-16T03:16:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random field ising model",
      "replica action",
      "non-trivial fixed point",
      "dimensional reduction"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999cond.mat..6405M"
    }
  }
}