{
  "id": "1104.3750",
  "version": "v5",
  "published": "2011-04-19T13:57:44.000Z",
  "updated": "2016-05-10T03:12:32.000Z",
  "title": "Constructive Renormalization of the 2-dimensional Grosse-Wulkenhaar Model with Multiscale Loop Vertex Expansions",
  "authors": [
    "Zhituo Wang"
  ],
  "comment": "39 pages. Important mistakes in the previous version have been corrected. A different method have been used for the construction",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "In this paper we construct the noncommutative Grosse-Wulkenhaar model on 2-dimensional Moyal plane with the method of loop vertex expansion. We treat renormalization with this new tool, adapt Nelson's argument and prove Borel summability of the perturbation series. This is the first non-commutative quantum field theory model to be built in a non-perturbative sense.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-04-12T09:33:19.000Z",
      "title": "Construction of 2-dimensional Grosse-Wulkenhaar Model",
      "comment": "30 pages, 18 figures. Notations in sections 3 have been slightly changed. One reference added",
      "journal": null,
      "doi": null
    },
    {
      "version": "v5",
      "updated": "2016-05-10T03:12:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.10.Ef",
      "11.10.Cd"
    ],
    "keywords": [
      "grosse-wulkenhaar model",
      "construction",
      "first non-commutative quantum field theory",
      "non-commutative quantum field theory model",
      "adapt nelsons argument"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 896610,
      "adsabs": "2011arXiv1104.3750W"
    }
  }
}