{
  "id": "hep-ph/0410016",
  "version": "v1",
  "published": "2004-10-01T14:44:14.000Z",
  "updated": "2004-10-01T14:44:14.000Z",
  "title": "The large $N$ limit from the lattice",
  "authors": [
    "Biagio Lucini"
  ],
  "comment": "Talk presented at Light-Cone 2004, Amsterdam, 16 - 20 August 2004. 6 pages, 4 figures. Include latex style files",
  "journal": "Few Body Syst. 36 (2005) 161-166",
  "doi": "10.1007/s00601-004-0094-7",
  "categories": [
    "hep-ph",
    "hep-lat",
    "hep-th"
  ],
  "abstract": "A numerical study of the string tension and of the masses of the lowest-lying glueballs is performed in SU($N$) gauge theories for $2 \\le N \\le 8$ in D=3+1 and $2 \\le N \\le 6$ in D=2+1. It is shown that for the string tension a smooth $N \\to \\infty$ limit exists that depends only on the 't Hooft coupling $\\lambda = g^2 N$. An extrapolation of the masses of the lightest glueballs to $N = \\infty$ using a power series in $1/N^2$ shows that the leading correction to the infinite $N$ value accounts for finite $N$ effects for $N$ at least as small as 3 and all the way down to N=2 in many cases. $k$-string tension ratios and possible issues connected with correlation functions at large $N$ are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-01T14:44:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge theories",
      "correlation functions",
      "power series",
      "value accounts",
      "string tension ratios"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 660870
    }
  }
}