{
  "id": "1601.02805",
  "version": "v1",
  "published": "2016-01-12T11:27:27.000Z",
  "updated": "2016-01-12T11:27:27.000Z",
  "title": "Note about the Loop Vertex Expansion for Phi^2k Theory in Zero Dimension",
  "authors": [
    "Luca Lionni",
    "Vincent Rivasseau"
  ],
  "comment": "14 pages, 1 figure",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This note is a sequel to \"Loop Vertex Expansion for Phi**2K Theory in Zero Dimension\" by V. Rivasseau and Zhituo Wang, Journ. Math.Phys. 51 (2010) 092304 and arXiv:1003.1037. We simplify and make more systematic the loop vertex expansion for the stable Phi^2k field theory in zero dimension and we extend it to the case of complex conjugate fields. We also correct a mistake in section 4 of Journ. Math.Phys. 51 (2010) 092304: for k>3 Lemma 4.1 as stated there is wrong but becomes correct by adding a single last step of intermediate field decomposition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-12T11:27:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "loop vertex expansion",
      "zero dimension",
      "intermediate field decomposition",
      "complex conjugate fields",
      "zhituo wang"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160102805L"
    }
  }
}