{
  "id": "hep-th/0502149",
  "version": "v2",
  "published": "2005-02-17T19:10:04.000Z",
  "updated": "2006-08-14T15:39:24.000Z",
  "title": "A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere",
  "authors": [
    "Ofer Aharony",
    "Joseph Marsano",
    "Shiraz Minwalla",
    "Kyriakos Papadodimas",
    "Mark Van Raamsdonk"
  ],
  "comment": "63 pages (40 pages + 2 appendices), 6 figures, harvmac. v2: minor corrections",
  "journal": "Phys.Rev.D71:125018,2005",
  "doi": "10.1103/PhysRevD.71.125018",
  "categories": [
    "hep-th",
    "hep-lat",
    "hep-ph"
  ],
  "abstract": "We give an analytic demonstration that the 3+1 dimensional large N SU(N) pure Yang-Mills theory, compactified on a small 3-sphere so that the coupling constant at the compactification scale is very small, has a first order deconfinement transition as a function of temperature. We do this by explicitly computing the relevant terms in the canonical partition function up to 3-loop order; this is necessary because the leading (1-loop) result for the phase transition is precisely on the borderline between a first order and a second order transition. Since numerical work strongly suggests that the infinite volume large N theory also has a first order deconfinement transition, we conjecture that the phase structure is independent of the size of the 3-sphere. To deal with divergences in our calculations, we are led to introduce a novel method of regularization useful for nonabelian gauge theory on a 3-sphere.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-08-14T15:39:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.15.Pg",
      "11.10.Wx",
      "12.38.Mh"
    ],
    "keywords": [
      "first order deconfinement transition",
      "nonabelian gauge theory",
      "pure yang-mills theory",
      "infinite volume large",
      "second order transition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 63,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 676951
    }
  }
}