{
  "id": "0711.4690",
  "version": "v1",
  "published": "2007-11-29T11:50:33.000Z",
  "updated": "2007-11-29T11:50:33.000Z",
  "title": "Obtaining the Gauge Invariant Kinetic Term for a SU(n)$_U$ x SU(m)$_V$ Lagrangian",
  "authors": [
    "Alex E. Bernardini"
  ],
  "comment": "6 pages",
  "journal": "Int. J. Theor. Phys. 47 (2008) 971-976",
  "doi": "10.1007/s10773-007-9523-y",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We propose a generalized way to formally obtain the gauge invariance of the kinetic part of a field Lagrangian over which a gauge transformation ruled by an $SU(n)_{U} \\otimes SU(m)_{V}$ coupling symmetry is applied. As an illustrative example, we employ such a formal construction for reproducing the standard model Lagrangian. This generalized formulation is supposed to contribute for initiating the study of gauge transformation applied to generalized $SU(n)_{U} \\otimes SU(m)_{V}$ symmetries as well as for complementing an introductory study of the standard model of elementary particles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-29T11:50:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.30.-j"
    ],
    "keywords": [
      "gauge invariant kinetic term",
      "gauge transformation",
      "standard model lagrangian",
      "gauge invariance",
      "kinetic part"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "International Journal of Theoretical Physics",
      "year": 2008,
      "month": "Apr",
      "volume": 47,
      "number": 4,
      "pages": 971
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 769068,
      "adsabs": "2008IJTP...47..971B"
    }
  }
}