{
  "id": "1103.1558",
  "version": "v5",
  "published": "2011-03-08T15:25:54.000Z",
  "updated": "2011-09-22T10:18:52.000Z",
  "title": "Phases of a two dimensional large N gauge theory on a torus",
  "authors": [
    "Gautam Mandal",
    "Takeshi Morita"
  ],
  "comment": "28 pages (+ 17 pages of appendix + 6 pages of ref.); 8 figures; (v2) LaTeX Showkeys command deleted; (v3) refs and minor clarifications added; emphasized the new proposal for applying holography to nonsupersymmetric gauge theory; (v4) modified the arguments about holography; (v5) minor corrections, version appeared in PRD",
  "doi": "10.1103/PhysRevD.84.085007",
  "categories": [
    "hep-th",
    "hep-lat",
    "hep-ph"
  ],
  "abstract": "We consider two-dimensional large N gauge theory with D adjoint scalars on a torus, which is obtained from a D+2 dimensional pure Yang-Mills theory on T^{D+2} with D small radii. The two dimensional model has various phases characterized by the holonomy of the gauge field around non-contractible cycles of the 2-torus. We determine the phase boundaries and derive the order of the phase transitions using a method, developed in an earlier work (arxiv:0910.4526), which is nonperturbative in the 'tHooft coupling and uses a 1/D expansion. We embed our phase diagram in the more extensive phase structure of the D+2 dimensional Yang-Mills theory and match with the picture of a cascade of phase transitions found earlier in lattice calculations (arxiv:0710.0098). We also propose a dual gravity system based on a Scherk-Schwarz compactification of a D2 brane wrapped on a 3-torus and find a phase structure which is similar to the phase diagram found in the gauge theory calculation.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2011-09-22T10:18:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.15.Pg",
      "11.25.Tq",
      "11.10.Wx"
    ],
    "keywords": [
      "dimensional large",
      "dimensional pure yang-mills theory",
      "phase diagram",
      "phase transitions",
      "phase structure"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2011,
      "month": "Oct",
      "volume": 84,
      "number": 8,
      "pages": "085007"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 891692,
      "adsabs": "2011PhRvD..84h5007M"
    }
  }
}