{
  "id": "hep-th/0211104",
  "version": "v1",
  "published": "2002-11-12T12:37:36.000Z",
  "updated": "2002-11-12T12:37:36.000Z",
  "title": "Variational Analysis of Deconfinement in Compact U(1) Gauge Theory",
  "authors": [
    "B. M. Gripaios"
  ],
  "comment": "15 pages",
  "journal": "Phys.Rev. D67 (2003) 025023",
  "doi": "10.1103/PhysRevD.67.025023",
  "categories": [
    "hep-th",
    "hep-lat",
    "hep-ph"
  ],
  "abstract": "A variational method is used to analyse compact U(1) gauge theory in 2+1-dimensions at finite temperature, T, weak coupling, g and where the fundamental magnetic monopoles have magnetic charge 2\\pi n/g. The theory undergoes a critical transition from a confining phase at temperatures below T_c=2g^2/n^2\\pi to a deconfined phase at temperatures above T_c. The free energy and all its derivatives are continuous at T_c, indicative of the BKT phase transition. The relevant gauge-invariant correlation functions decay exponentially at large distances. The spatial Wilson loop obeys the area law at all finite temperatures, even for the non-compact theory. The case n=2 corresponds to the compact U(1) theory considered as a low energy effective theory for the spontaneously broken Georgi--Glashow model. The results in this case agree with those derived previously for compact U(1) in this model using dimensional reduction of the Lagrangian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-12T12:37:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.15.Tk",
      "12.20.Ds",
      "11.10.Wx",
      "11.10.Kk"
    ],
    "keywords": [
      "gauge theory",
      "variational analysis",
      "relevant gauge-invariant correlation functions decay",
      "finite temperature"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 601865
    }
  }
}