{
  "id": "1010.5515",
  "version": "v1",
  "published": "2010-10-26T20:50:48.000Z",
  "updated": "2010-10-26T20:50:48.000Z",
  "title": "Deconfinement in Yang-Mills theory through toroidal compactification with deformation",
  "authors": [
    "Dusan Simic",
    "Mithat Unsal"
  ],
  "comment": "25 pgaes, 4 figures",
  "doi": "10.1103/PhysRevD.85.105027",
  "categories": [
    "hep-th",
    "hep-lat",
    "hep-ph",
    "nucl-th"
  ],
  "abstract": "We introduce field theory techniques through which the deconfinement transition of four-dimensional Yang-Mills theory can be moved to a semi-classical domain where it becomes calculable using two-dimensional field theory. We achieve this through a double- trace deformation of toroidally compactified Yang-Mills theory on R2 \\times S1_L \\times S1_{\\beta}. At large N, fixed-L, and arbitrary {\\beta}, the thermodynamics of the deformed theory is equivalent to that of ordinary Yang-Mills theory at leading order in the large N expansion. At fixed-N, small L and a range of {\\beta}, the deformed theory maps to a two-dimensional theory with electric and magnetic (order and disorder) perturbations, analogs of which appear in planar spin-systems and statistical physics. We show that in this regime the deconfinement transition is driven by the competition between electric and magnetic perturbations in this two-dimensional theory. This appears to support the scenario proposed by Liao and Shuryak regarding the magnetic component of the quark-gluon plasma at RHIC.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-26T20:50:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.15.Pg",
      "11.10.Wx",
      "12.38.Mh"
    ],
    "keywords": [
      "toroidal compactification",
      "deconfinement transition",
      "two-dimensional theory",
      "two-dimensional field theory",
      "deformed theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2012,
      "month": "May",
      "volume": 85,
      "number": 10,
      "pages": 105027
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 874678,
      "adsabs": "2012PhRvD..85j5027S"
    }
  }
}