{
  "id": "1402.5137",
  "version": "v1",
  "published": "2014-02-19T21:00:23.000Z",
  "updated": "2014-02-19T21:00:23.000Z",
  "title": "Matrix model for deconfinement in a SU(Nc) gauge theory in 2+1 dimensions",
  "authors": [
    "Pedro Bicudo",
    "Robert D. Pisarski",
    "Elina Seel"
  ],
  "comment": "57 pages, 26 figures",
  "journal": "Phys. Rev. D 89, 085020 (2014)",
  "doi": "10.1103/PhysRevD.89.085020",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We use an effective matrix model to study deconfinement in a pure SU(Nc) gauge theory, without quarks, in d=2+1 dimensions. Expanding about a constant background A0 field we construct an effective potential for the eigenvalues of the thermal Wilson line for general Nc and in the large-Nc limit. The numerical results are presented using one, two, and four free parameters, which are determined by fitting directly to the lattice data for the pressure. The matrix model shows a good agreement with numerical lattice simulations for the pressure and the interaction measure, starting from the perturbative limit up to the critical temperature. For the pressure, the details of A0- dependent nonperturbative terms are relevant only in a narrow transition region below ~1.2 Td. This is also the range where the Polyakov loop deviates notably from one. In accordance with the lattice results we find that, up to a trivial factor Nc^2-1, there is only a mild dependence on the number of colors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-19T21:00:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.Mh",
      "11.10.Wx"
    ],
    "keywords": [
      "matrix model",
      "gauge theory",
      "dimensions",
      "deconfinement",
      "constant background a0 field"
    ],
    "tags": [
      "journal article",
      "kaleidoscope"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2014,
      "month": "Apr",
      "volume": 89,
      "number": 8,
      "pages": "085020"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 57,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1282140,
      "adsabs": "2014PhRvD..89h5020B"
    }
  }
}