{
  "id": "0706.3244",
  "version": "v1",
  "published": "2007-06-22T01:39:22.000Z",
  "updated": "2007-06-22T01:39:22.000Z",
  "title": "A non-perturbative study of non-commutative U(1) gauge theory",
  "authors": [
    "J. Nishimura",
    "W. Bietenholz",
    "Y. Susaki",
    "J. Volkholz"
  ],
  "comment": "7 pages, 4 figures, Talk presented by J. Nishimura at the 21st Nishinomiya-Yukawa Memorial Symposium on Theoretical Physics: ``Noncommutative Geometry and Quantum Spacetime in Physics'', Nishinomiya and Kyoto (2006)",
  "doi": "10.1143/PTPS.171.178",
  "categories": [
    "hep-th",
    "hep-lat"
  ],
  "abstract": "We study U(1) gauge theory on a 4d non-commutative torus, where two directions are non-commutative. Monte Carlo simulations are performed after mapping the regularized theory onto a U(N) lattice gauge theory in d=2. At intermediate coupling strength, we find a phase in which open Wilson lines acquire non-zero vacuum expectation values, which implies the spontaneous breakdown of translational invariance. In this phase, various physical quantities obey clear scaling behaviors in the continuum limit with a fixed non-commutativity parameter theta, which provides evidence for a possible continuum theory. In the weak coupling symmetric phase, the dispersion relation involves a negative IR-singular term, which is responsible for the observed phase transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-22T01:39:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge theory",
      "acquire non-zero vacuum expectation",
      "non-zero vacuum expectation values",
      "non-perturbative study",
      "obey clear scaling behaviors"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 753872,
      "adsabs": "2007PThPS.171..178N"
    }
  }
}