{
  "id": "1110.2460",
  "version": "v1",
  "published": "2011-10-11T18:21:25.000Z",
  "updated": "2011-10-11T18:21:25.000Z",
  "title": "The Double Scaling Limit in Arbitrary Dimensions: A Toy Model",
  "authors": [
    "Razvan Gurau"
  ],
  "doi": "10.1103/PhysRevD.84.124051",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "Colored tensor models generalize matrix models in arbitrary dimensions yielding a statistical theory of random higher dimensional topological spaces. They admit a 1/N expansion dominated by graphs of spherical topology. The simplest tensor model one can consider maps onto a rectangular matrix model with skewed scalings. We analyze this simplest toy model and show that it exhibits a family of multi critical points and a novel double scaling limit. We show in D=3 dimensions that only graphs representing spheres contribute in the double scaling limit, and argue that similar results hold for any dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-11T18:21:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.60.Gw",
      "05.40.-a",
      "02.10.Yn"
    ],
    "keywords": [
      "double scaling limit",
      "arbitrary dimensions",
      "toy model",
      "higher dimensional topological spaces",
      "tensor models generalize matrix models"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2011,
      "month": "Dec",
      "volume": 84,
      "number": 12,
      "pages": 124051
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 939465,
      "adsabs": "2011PhRvD..84l4051G"
    }
  }
}