{
  "id": "0801.4111",
  "version": "v2",
  "published": "2008-01-27T03:36:13.000Z",
  "updated": "2008-06-17T21:52:02.000Z",
  "title": "Entanglement entropy in d+1 SU(N) gauge theory",
  "authors": [
    "Alexander Velytsky"
  ],
  "comment": "9 pages, 5 figures, revised version: one figure added, discussion of the results extended, misprints corrected",
  "journal": "Phys.Rev.D77:085021,2008",
  "doi": "10.1103/PhysRevD.77.085021",
  "categories": [
    "hep-th",
    "cond-mat.stat-mech",
    "hep-lat"
  ],
  "abstract": "We consider the entanglement entropy for a sub-system in d+1 dimensional SU(N) lattice gauge theory. The 1+1 gauge theory is treated exactly and shows trivial behavior. Gauge theories in higher dimensions are treated within Migdal-Kadanoff approximation. We consider the gauge theory in the confinement phase. We demonstrate the existence of a non-analytical change from the short distance to long distance form in the entanglement entropy in such systems (d>2) reminiscent of a phase transition. The transition is manifested in nontrivial change in the RG flow of the character expansion coefficients defining the partition function.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-06-17T21:52:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.Aw",
      "11.15.Ha"
    ],
    "keywords": [
      "entanglement entropy",
      "lattice gauge theory",
      "long distance form",
      "character expansion coefficients defining",
      "partition function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2008,
      "month": "Apr",
      "volume": 77,
      "number": 8,
      "pages": "085021"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 778204,
      "adsabs": "2008PhRvD..77h5021V"
    }
  }
}