{
  "id": "0804.3845",
  "version": "v2",
  "published": "2008-04-24T06:24:23.000Z",
  "updated": "2008-06-19T08:40:04.000Z",
  "title": "Bounces/Dyons in the Plane Wave Matrix Model and SU(N) Yang-Mills Theory",
  "authors": [
    "Alexander D. Popov"
  ],
  "comment": "11 pages; v2: one formula added, some coefficients corrected",
  "doi": "10.1142/S0217732309030163",
  "categories": [
    "hep-th"
  ],
  "abstract": "We consider SU(N) Yang-Mills theory on the space R^1\\times S^3 with Minkowski signature (-+++). The condition of SO(4)-invariance imposed on gauge fields yields a bosonic matrix model which is a consistent truncation of the plane wave matrix model. For matrices parametrized by a scalar \\phi, the Yang-Mills equations are reduced to the equation of a particle moving in the double-well potential. The classical solution is a bounce, i.e. a particle which begins at the saddle point \\phi=0 of the potential, bounces off the potential wall and returns to \\phi=0. The gauge field tensor components parametrized by \\phi are smooth and for finite time both electric and magnetic fields are nonvanishing. The energy density of this non-Abelian dyon configuration does not depend on coordinates of R^1\\times S^3 and the total energy is proportional to the inverse radius of S^3. We also describe similar bounce dyon solutions in SU(N) Yang-Mills theory on the space R^1\\times S^2 with signature (-++). Their energy is proportional to the square of the inverse radius of S^2. From the viewpoint of Yang-Mills theory on R^{1,1}\\times S^2 these solutions describe non-Abelian (dyonic) flux tubes extended along the x^3-axis.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-06-19T08:40:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "plane wave matrix model",
      "yang-mills theory",
      "field tensor components",
      "bounces/dyons",
      "similar bounce dyon solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Modern Physics Letters A",
      "year": 2009,
      "volume": 24,
      "number": 5,
      "pages": 349
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 784204,
      "adsabs": "2009MPLA...24..349P"
    }
  }
}