{
  "id": "cond-mat/0408270",
  "version": "v2",
  "published": "2004-08-12T08:31:24.000Z",
  "updated": "2005-01-31T09:35:07.000Z",
  "title": "A field-theoretical approach to the spin glass transition: models with long but finite interaction range",
  "authors": [
    "Silvio Franz",
    "Fabio Lucio Toninelli"
  ],
  "comment": "23 pages",
  "journal": "J. Stat. Mech.: Theor. Exp. (2005) P01008",
  "doi": "10.1088/1742-5468/2005/01/P01008",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We study spin glasses with Kac type interaction potential for small but finite inverse interaction range $\\gamma$. Using the theoretical setup of coupled replicas, through the replica method we argue that the probability of overlap profiles can be expressed for small $\\gamma$ through a large-deviation functional. This result is supported by rigorous arguments, showing that the large-deviation functional provides at least upper bounds for the probability. Finally we analyze the rate function, in the vicinity of the critical point $T_c=1$ of mean field theory, and we study the free energy cost of overlap interfaces, assuming the validity of a gradient expansion for the rate functional.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-01-31T09:35:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin glass transition",
      "finite interaction range",
      "field-theoretical approach",
      "kac type interaction potential",
      "finite inverse interaction range"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}