{
  "id": "2105.09919",
  "version": "v1",
  "published": "2021-05-20T17:30:31.000Z",
  "updated": "2021-05-20T17:30:31.000Z",
  "title": "The dressing field method in gauge theories -- geometric approach",
  "authors": [
    "Marcin Zając"
  ],
  "comment": "17 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Recently, T. Masson, J. Francois, S. Lazzarini, C. Fournel and J. Attard have introduced a new method of the reduction of gauge symmetry called a dressing field method. In this paper we analyse this method from the fiber bundle point of view and we show the geometric implications for a principal bundle underlying a given gauge theory. We show how the existence of the dressing field satisfying certain conditions naturally leads to the reduction of the principal bundle and, as a consequence, to the reduction of the configuration and phase bundle of the system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-20T17:30:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dressing field method",
      "gauge theory",
      "geometric approach",
      "principal bundle",
      "fiber bundle point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}