{
  "id": "1604.08856",
  "version": "v1",
  "published": "2016-04-29T14:40:16.000Z",
  "updated": "2016-04-29T14:40:16.000Z",
  "title": "The Wilson loop in the Gaussian Unitary Ensemble",
  "authors": [
    "Razvan Gurau"
  ],
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "Using the supersymmetric formalism we compute exactly at finite $N$ the expectation of the Wilson loop in the Gaussian Unitary Ensemble and derive an exact formula for the spectral density at finite $N$. We obtain the same result by a second method relying on enumerative combinatorics and show that it leads to a novel proof of the Harer-Zagier series formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-29T14:40:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B20"
    ],
    "keywords": [
      "gaussian unitary ensemble",
      "wilson loop",
      "harer-zagier series formula",
      "supersymmetric formalism",
      "novel proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160408856G",
      "inspire": 1454102
    }
  }
}