{
  "id": "hep-ph/9709410",
  "version": "v1",
  "published": "1997-09-19T18:07:46.000Z",
  "updated": "1997-09-19T18:07:46.000Z",
  "title": "Solution of gauge theories induced by fundamental representation scalars",
  "authors": [
    "P. Suranyi"
  ],
  "comment": "12 pages, LaTeX",
  "journal": "Phys.Rev. D57 (1998) 5084-5091",
  "doi": "10.1103/PhysRevD.57.5084",
  "categories": [
    "hep-ph"
  ],
  "abstract": "Gauge theories induced by scalars in the fundamental representation of the $U(N_c)_{gauge}\\times U(N_f)_{global}$ group are investigated in the large $N_c$ and $N_f$ limit. A master field is defined from bilinears of the scalar field following an Eguchi-Kawai type reduction of spacetime. The density function for the master field satisfies an integral equation that can be solved exactly in two dimensions (D=2) and in a convergent series of approximations at $D>2$. While at D=2 the system is in the same phase at all $\\epsilon=N_c/N_f$, it undergoes a phase transition at a critical value, $\\epsilon_c(D)$, for $D>2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-09-19T18:07:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge theories",
      "fundamental representation scalars",
      "master field satisfies",
      "eguchi-kawai type reduction",
      "scalar field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 448634
    }
  }
}