{
  "id": "hep-th/9910088",
  "version": "v1",
  "published": "1999-10-11T15:52:48.000Z",
  "updated": "1999-10-11T15:52:48.000Z",
  "title": "A Candidate for Solvable Large N Lattice Gauge Theory in D>2",
  "authors": [
    "Andrey Dubin"
  ],
  "comment": "46 pages",
  "categories": [
    "hep-th",
    "hep-lat",
    "hep-ph"
  ],
  "abstract": "I propose a class of D\\geq{2} lattice SU(N) gauge theories dual to certain vector models endowed with the local [U(N)]^{D} conjugation-invariance and Z_{N} gauge symmetry. In the latter models, both the partitition function and Wilson loop observables depend nontrivially only on the eigenvalues of the link-variables. Therefore, the vector-model facilitates a master-field representation of the large N loop-averages in the corresponding induced gauge system. As for the partitition function, in the limit N->{infinity} it is reduced to the 2Dth power of an effective one-matrix eigenvalue-model which makes the associated phase structure accessible. In particular a simple scaling-condition, that ensures the proper continuum limit of the induced gauge theory, is proposed. We also derive a closed expression for the large N average of a generic nonself-intersecting Wilson loop in the D=2 theory defined on an arbitrary 2d surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-10-11T15:52:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lattice gauge theory",
      "solvable large",
      "partitition function",
      "induced gauge",
      "wilson loop observables depend"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 46,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 508431,
      "adsabs": "1999hep.th...10088D"
    }
  }
}