{
  "id": "hep-th/0209139",
  "version": "v3",
  "published": "2002-09-17T15:46:14.000Z",
  "updated": "2002-12-29T01:43:47.000Z",
  "title": "Instanton Number of Noncommutative U(n) gauge theory",
  "authors": [
    "Akifumi Sako"
  ],
  "comment": "6 color figures, 27 pages, some comments and references are added,typos fixed",
  "journal": "JHEP 0304 (2003) 023",
  "doi": "10.1088/1126-6708/2003/04/023",
  "categories": [
    "hep-th",
    "math.DG"
  ],
  "abstract": "We show that the integral of the first Pontrjagin class is given by an integer and it is identified with instanton number of the U(n) gauge theory on noncommutative ${\\bf R^4}$. Here the dimension of the vector space $V$ that appear in the ADHM construction is called Instanton number. The calculation is done in operator formalism and the first Pontrjagin class is defined by converge series. The origin of the instanton number is investigated closely, too.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-12-29T01:43:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "instanton number",
      "gauge theory",
      "first pontrjagin class",
      "noncommutative",
      "vector space"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP",
      "journal": "Journal of High Energy Physics",
      "year": 2003,
      "month": "Apr",
      "volume": 2003,
      "number": 4,
      "pages": "023"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 595176,
      "adsabs": "2003JHEP...04..023S"
    }
  }
}