{
  "id": "1812.11733",
  "version": "v1",
  "published": "2018-12-31T09:31:16.000Z",
  "updated": "2018-12-31T09:31:16.000Z",
  "title": "The Lagrange-Poincaré equations for interacting Yang-Mills and scalar fields",
  "authors": [
    "S. N. Storchak"
  ],
  "comment": "35 pages, preliminary version",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "A special case of the Lagrange-Poincar\\'e equations for the gauge field interacting with a scalar field is obtained. For description of the dynamics on the configuration space, the adapted coordinates are used. After neglecting the group variables the obtained equations describe the evolution on the gauge orbit space of the principal fiber bundle which is related to the system under the consideration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-31T09:31:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scalar field",
      "interacting yang-mills",
      "principal fiber bundle",
      "gauge orbit space",
      "lagrange-poincare equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}