{
  "id": "1104.3443",
  "version": "v3",
  "published": "2011-04-18T12:05:58.000Z",
  "updated": "2014-07-01T15:27:27.000Z",
  "title": "Constructive Renormalization for $Φ^{4}_2$ Theory with Loop Vertex Expansion",
  "authors": [
    "Vincent Rivasseau",
    "Zhituo Wang"
  ],
  "comment": "The paper has been withdrawn because it contained some mistakes found by the authors themselves and which they corrected in the new version arXiv:1406.7428",
  "journal": "J. Math. Phys. 53, 042302 (2012)",
  "doi": "10.1063/1.4705689",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "In this paper we construct the 2 dimensional Euclidean $\\phi^4$ quantum field theory using the method of loop vertex expansion. We reproduce the results of standard constructive theory, for example the Borel summability of the Schwinger functions in the coupling constant. Our method should be also suitable for the future construction of Grosse-Wulkenhaar models on non-commutative space-time.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-07-01T15:27:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.10.Cd",
      "11.10.Gh",
      "11.10.Lm"
    ],
    "keywords": [
      "loop vertex expansion",
      "constructive renormalization",
      "quantum field theory",
      "schwinger functions",
      "borel summability"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2012,
      "month": "Apr",
      "volume": 53,
      "number": 4,
      "pages": 2302
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 896706,
      "adsabs": "2012JMP....53d2302R"
    }
  }
}