{
  "id": "1507.03548",
  "version": "v1",
  "published": "2015-07-13T18:50:09.000Z",
  "updated": "2015-07-13T18:50:09.000Z",
  "title": "Renormalization and Hopf Algebraic Structure of the 5-Dimensional Quartic Tensor Field Theory",
  "authors": [
    "Remi Cocou Avohou",
    "Vincent Rivasseau",
    "Adrian Tanasa"
  ],
  "comment": "17 pages, 5 figures, 1 table",
  "categories": [
    "math-ph",
    "hep-th",
    "math.CO",
    "math.MP"
  ],
  "abstract": "This paper is devoted to the study of renormalization of the quartic melonic tensor model in dimension (=rank) five. We review the perturbative renormalization and the computation of the one loop beta function, confirming the asymptotic freedom of the model. We then define the Connes-Kreimer-like Hopf algebra describing the combinatorics of the renormalization of this model and we analyze in detail, at one- and two-loop levels, the Hochschild cohomology allowing to write the combinatorial Dyson-Schwinger equations. Feynman tensor graph Hopf subalgebras are also exhibited.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-13T18:50:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C10",
      "57M15"
    ],
    "keywords": [
      "quartic tensor field theory",
      "hopf algebraic structure",
      "renormalization",
      "feynman tensor graph hopf subalgebras",
      "quartic melonic tensor model"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/48/48/485204"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150703548C",
      "inspire": 1382646
    }
  }
}