{
  "id": "hep-th/0407210",
  "version": "v3",
  "published": "2004-07-24T11:55:26.000Z",
  "updated": "2005-04-20T05:35:51.000Z",
  "title": "Understanding the U(1) problem through dyon configuration in the Abelian projection",
  "authors": [
    "Seikou Kato",
    "Kei-Ichi Kondo"
  ],
  "comment": "12 pages,(v2) some new references and minor changes to the text, clarifying comments added, no changes in results. (v3)Title modified, minor corrections",
  "journal": "Phys.Rev. D71 (2005) 114019",
  "doi": "10.1103/PhysRevD.71.114019",
  "categories": [
    "hep-th",
    "hep-lat",
    "hep-ph"
  ],
  "abstract": "We show that the magnetic monopole promoted to the dyon due to the vacuum angle $\\theta$ resolves the U(1) problem in the sense that the dyon obtained in this way gives a dominant contribution to the topological susceptibility. For this purpose, we derive an Abelian-projected effective gauge theory written in terms of Abelian degrees of freedom, which is obtained by integrating out all the off-diagonal degrees of freedom involved in the SU(2) Yang-Mills theory with the vacuum angle $\\theta$. We evaluate the topological susceptibility by estimating the classical part of the effective dyon action obtained by performing the duality transformation. The obtained result is consistent with the Veneziano--Witten formula.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-04-20T05:35:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.Aw",
      "12.38.Lg"
    ],
    "keywords": [
      "dyon configuration",
      "abelian projection",
      "vacuum angle",
      "abelian-projected effective gauge theory written",
      "topological susceptibility"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 655175
    }
  }
}