{
  "id": "1604.04777",
  "version": "v1",
  "published": "2016-04-16T17:45:33.000Z",
  "updated": "2016-04-16T17:45:33.000Z",
  "title": "The $1/N$ expansion for $SO(N)$ lattice gauge theory at strong coupling",
  "authors": [
    "Sourav Chatterjee",
    "Jafar Jafarov"
  ],
  "comment": "43 pages, 11 figures",
  "categories": [
    "math.PR",
    "hep-lat",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The $1/N$ expansion is an asymptotic series expansion for certain quantities in large-$N$ lattice gauge theories. This article gives a rigorous formulation and proof of the $1/N$ expansion for Wilson loop expectations in $SO(N)$ lattice gauge theory in the strong coupling regime in any dimension. The terms in the expansion are expressed as sums over trajectories of strings in a lattice string theory, establishing an explicit gauge-string duality. The trajectories trace out surfaces of genus zero for the first term in the expansion, and surfaces of higher genus for the higher terms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-16T17:45:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70S15",
      "81T13",
      "81T25",
      "82B20"
    ],
    "keywords": [
      "lattice gauge theory",
      "strong coupling",
      "asymptotic series expansion",
      "wilson loop expectations",
      "higher genus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160404777C",
      "inspire": 1448303
    }
  }
}