{
  "id": "cond-mat/9705101",
  "version": "v1",
  "published": "1997-05-12T08:44:13.000Z",
  "updated": "1997-05-12T08:44:13.000Z",
  "title": "Percolation on a Feynman Diagram",
  "authors": [
    "D. A. Johnston",
    "P. Plechac"
  ],
  "comment": "LaTex, 5 pages + 3 ps figures",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat"
  ],
  "abstract": "In a recent paper hep-lat/9704020 we investigated Potts models on ``thin'' random graphs -- generic Feynman diagrams, using the idea that such models may be expressed as the N --> 1 limit of a matrix model. The models displayed first order transitions for all q greater than 2, giving identical behaviour to the corresponding Bethe lattice. We use here one of the results of hep-lat/9704020 namely a general saddle point solution for a q state Potts model expressed as a function of q, to investigate some peculiar features of the percolative limit q -> 1 and compare the results with those on the Bethe lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-05-12T08:44:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "percolation",
      "models displayed first order transitions",
      "general saddle point solution",
      "generic feynman diagrams",
      "state potts model"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997cond.mat..5101J"
    }
  }
}