{
  "id": "cond-mat/0602453",
  "version": "v3",
  "published": "2006-02-20T07:31:47.000Z",
  "updated": "2006-06-06T06:29:02.000Z",
  "title": "Duality in finite-dimensional spin glasses",
  "authors": [
    "Hidetoshi Nishimori"
  ],
  "comment": "12 pages, 3 figures; A reference added; to appear in J. Stat. Phys",
  "journal": "J. Stat. Phys. 126 (2007) 977",
  "doi": "10.1007/s10955-006-9156-1",
  "categories": [
    "cond-mat.dis-nn",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothesis on analyticity of a function appearing in the duality relation. Thus the problem is now clearer than before from a mathematical point of view: The ansatz, somewhat arbitrarily introduced previously, has now been shown to be closely related to the analyticity of a well-defined function.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-06-06T06:29:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite-dimensional spin glasses",
      "conjecture",
      "exact location",
      "analyticity",
      "replica method"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}