{
  "id": "1812.04707",
  "version": "v1",
  "published": "2018-12-11T21:48:36.000Z",
  "updated": "2018-12-11T21:48:36.000Z",
  "title": "Singular symplectic cotangent bundle reduction of gauge field theory",
  "authors": [
    "Tobias Diez",
    "Gerd Rudolph"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "math.SG"
  ],
  "abstract": "We prove a theorem on singular symplectic cotangent bundle reduction in the Fr\\'echet setting and apply it to Yang-Mills-Higgs theory with special emphasis on the Higgs sector of the Glashow-Weinberg-Salam model. For the latter model we give a detailed description of the reduced phase space and show that the singular structure is encoded in a finite-dimensional Lie group action.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-11T21:48:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37K05",
      "53D20",
      "70S05",
      "70S10",
      "70S15",
      "58E40"
    ],
    "keywords": [
      "singular symplectic cotangent bundle reduction",
      "gauge field theory",
      "finite-dimensional lie group action",
      "yang-mills-higgs theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}