{
  "id": "hep-th/0106185",
  "version": "v3",
  "published": "2001-06-20T13:25:24.000Z",
  "updated": "2001-11-09T17:32:28.000Z",
  "title": "k-string tensions in SU(N) gauge theories",
  "authors": [
    "Luigi Del Debbio",
    "Haralambos Panagopoulos",
    "Paolo Rossi",
    "Ettore Vicari"
  ],
  "comment": "version accepted for publication in Phys Rev D (Rap Comm)",
  "journal": "Phys.Rev. D65 (2002) 021501",
  "doi": "10.1103/PhysRevD.65.021501",
  "categories": [
    "hep-th",
    "hep-lat"
  ],
  "abstract": "In the context of four-dimensional SU(N) gauge theories, we study the spectrum of the confining strings. We compute, for the SU(6) gauge theory formulated on a lattice, the three independent string tensions sigma_k related to sources with Z_N charge k=1,2,3, using Monte Carlo simulations. Our results, whose uncertainty is approximately 2% for k=2 and 4% for k=3, are consistent with the sine formula sigma_k/sigma = sin(k pi/N) / \\sin(pi/N) for the ratio between sigma_k and the standard string tension sigma, and show deviations from the Casimir scaling. The sine formula is known to emerge in supersymmetric SU(N) gauge theories and in M-theory. We comment on an analogous behavior exhibited by two-dimensional SU(N)xSU(N) chiral models.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-11-09T17:32:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.Gc",
      "12.38.Aw",
      "11.15.Ha"
    ],
    "keywords": [
      "gauge theory",
      "k-string tensions",
      "sine formula",
      "standard string tension sigma",
      "monte carlo simulations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 558716
    }
  }
}