{
  "id": "cond-mat/9901110",
  "version": "v2",
  "published": "1999-01-12T19:33:17.000Z",
  "updated": "1999-03-09T00:22:29.000Z",
  "title": "Wigner-Dyson Statistics from the Replica Method",
  "authors": [
    "Alex Kamenev",
    "Marc Mezard"
  ],
  "comment": "13 pages, added references",
  "doi": "10.1088/0305-4470/32/24/304",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We compute the correlation functions of the eigenvalues in the Gaussian unitary ensemble using the fermionic replica method. We show that non--trivial saddle points, which break replica symmetry, must be included in the calculation in order to reproduce correctly the exact results for the correlation functions at large distance.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-03-09T00:22:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "wigner-dyson statistics",
      "correlation functions",
      "break replica symmetry",
      "fermionic replica method",
      "non-trivial saddle points"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 1999,
      "month": "Jun",
      "volume": 32,
      "number": 24,
      "pages": 4373
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999JPhA...32.4373K"
    }
  }
}