{
  "id": "0705.3891",
  "version": "v2",
  "published": "2007-05-26T11:41:45.000Z",
  "updated": "2007-06-14T17:44:16.000Z",
  "title": "Renormalization flow for unrooted forests on a triangular lattice",
  "authors": [
    "Sergio Caracciolo",
    "Claudia De Grandi",
    "Andrea Sportiello"
  ],
  "comment": "26 pages, 4 figures",
  "journal": "Nucl.Phys.B787:260-282,2007",
  "doi": "10.1016/j.nuclphysb.2007.06.012",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat"
  ],
  "abstract": "We compute in small temperature expansion the two-loop renormalization constants and the three-loop coefficient of the beta-function, that is the first non-universal term, for the sigma-model with O(N) invariance on the triangular lattice at N=-1. The partition function of the corresponding Grassmann theory is, for negative temperature, the generating function of unrooted forests on such a lattice, where the temperature acts as a chemical potential for the number of trees in the forest. To evaluate Feynman diagrams we extend the coordinate space method to the triangular lattice.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-06-14T17:44:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "triangular lattice",
      "unrooted forests",
      "renormalization flow",
      "two-loop renormalization constants",
      "coordinate space method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nuclear Physics B",
      "year": 2007,
      "month": "Dec",
      "volume": 787,
      "number": 3,
      "pages": 260
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 752795,
      "adsabs": "2007NuPhB.787..260C"
    }
  }
}