{
  "id": "1011.3429",
  "version": "v1",
  "published": "2010-11-15T15:50:46.000Z",
  "updated": "2010-11-15T15:50:46.000Z",
  "title": "Symmetric Criticality in Classical Field Theory",
  "authors": [
    "C. G. Torre"
  ],
  "comment": "12 pages, to appear in the proceedings of the XIX International Fall Workshop on Geometry and Physics",
  "categories": [
    "math-ph",
    "gr-qc",
    "hep-th",
    "math.MP"
  ],
  "abstract": "This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais' Principle of Symmetric Criticality. After providing a little history, I describe necessary and sufficient conditions on a group action such that reduction of a group-invariant Lagrangian by the symmetry group yields the correct symmetry-reduced Euler-Lagrange equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-15T15:50:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.50.Kk",
      "11.30.Ly",
      "04.20.Cv",
      "11.10.Ef",
      "02.20.Sv"
    ],
    "keywords": [
      "classical field theory",
      "symmetric criticality",
      "correct symmetry-reduced euler-lagrange equations",
      "symmetry group yields",
      "ian anderson"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.3599128"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 877619,
      "adsabs": "2011AIPC.1360...63T"
    }
  }
}