{
  "id": "0910.4526",
  "version": "v3",
  "published": "2009-10-23T19:36:32.000Z",
  "updated": "2010-02-03T11:49:12.000Z",
  "title": "Phases of one dimensional large N gauge theory in a 1/D expansion",
  "authors": [
    "Gautam Mandal",
    "Manavendra Mahato",
    "Takeshi Morita"
  ],
  "comment": "27 pages + 21 pages of Appendix; 8 figures, v2:some comments are added in sec.4.3, minor corrections, one reference added, v3: minor corrections, one reference added, version to be published in JHEP",
  "journal": "JHEP 1002:034,2010",
  "doi": "10.1007/JHEP02(2010)034",
  "categories": [
    "hep-th",
    "cond-mat.stat-mech",
    "hep-lat"
  ],
  "abstract": "We consider large N Yang Mills theory with D adjoint scalar fields in d dimensions for d=0 or 1. We show the existence of a non-trivial saddle point of the functional integral at large D which is characterized by a mass gap for the adjoint scalars. We integrate out the adjoint scalars in a 1/D expansion around the saddle point. In case of one dimension which is regarded as a circle, this procedure leads to an effective action for the Wilson line. We find an analogue of the confinement/deconfinement transition which consists of a second order phase transition from a uniform to a non-uniform eigenvalue distribution of the Wilson line, closely followed by a Gross-Witten-Wadia transition where a gap develops in the eigenvalue distribution. The phase transition can be regarded as a continuation of a Gregory-Laflamme transition. Our methods involve large values of the dimensionless 'tHooft coupling. The analysis in this paper is quantitatively supported by earlier numerical work for D=9.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-02-03T11:49:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge theory",
      "dimensional large",
      "wilson line",
      "second order phase transition",
      "non-trivial saddle point"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Journal of High Energy Physics",
      "year": 2010,
      "month": "Feb",
      "volume": 2010,
      "pages": 34
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 835011,
      "adsabs": "2010JHEP...02..034M"
    }
  }
}