{
  "id": "1306.2943",
  "version": "v1",
  "published": "2013-06-12T20:00:02.000Z",
  "updated": "2013-06-12T20:00:02.000Z",
  "title": "Matrix model for deconfinement in an SU(2) gauge theory in 2+1 dimensions",
  "authors": [
    "Pedro Bicudo",
    "Robert D. Pisarski",
    "Elina Seel"
  ],
  "comment": "35 pages, 13 figures, 1 table",
  "doi": "10.1103/PhysRevD.88.034007",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We use matrix models to characterize deconfinement at a nonzero temperature T for an SU(2) gauge theory in three spacetime dimensions. At one loop order, the potential for a constant vector potential A0 is ~T^3 times a trilogarithm function of A0/T. In addition, we add various nonperturbative terms to model deconfinement. The parameters of the model are adjusted by fitting the lattice results for the pressure. The nonperturbative terms are dominated by a constant term ~T^2Td, where Td is the temperature for deconfinement. Besides this constant, we add terms which are nontrivial functions of A0/T, both ~T^2Td and ~TTd^2. There is only a mild sensitivity to the details of these nonconstant terms. Overall we find a good agreement with the lattice results. For the pressure, the conformal anomaly, and the Polyakov loop the nonconstant terms are relevant only in a narrow region below ~1.2Td. We also compute the 't Hooft loop, and find that the details of the nonconstant terms enter in a much wider region, up to ~4Td.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-12T20:00:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.Mh",
      "11.10.Wx"
    ],
    "keywords": [
      "gauge theory",
      "matrix model",
      "deconfinement",
      "dimensions",
      "constant vector potential a0"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2013,
      "month": "Aug",
      "volume": 88,
      "number": 3,
      "pages": "034007"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1238430,
      "adsabs": "2013PhRvD..88c4007B"
    }
  }
}