{
  "id": "math-ph/0603062",
  "version": "v2",
  "published": "2006-03-24T10:56:50.000Z",
  "updated": "2006-09-21T09:08:00.000Z",
  "title": "Some aspects of the homogeneous formalism in Field Theory and gauge invariance",
  "authors": [
    "M. Palese",
    "E. Winterroth"
  ],
  "comment": "9 pages, slightly revised, to appear in Proc. Winter School \"Geometry and Physics\", Srni (CZ) 2006",
  "journal": "Arch. Math. (Brno) 42(2006), Supplement, 319--327",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We propose a suitable formulation of the Hamiltonian formalism for Field Theory in terms of Hamiltonian connections and multisymplectic forms where a composite fibered bundle, involving a line bundle, plays the role of an extended configuration bundle. This new approach can be interpreted as a suitable generalization to Field Theory of the homogeneous formalism for Hamiltonian Mechanics. As an example of application, we obtain the expression of a formal energy for a parametrized version of the Hilbert--Einstein Lagrangian and we show that this quantity is conserved.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-09-21T09:08:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70S05",
      "70G45"
    ],
    "keywords": [
      "field theory",
      "homogeneous formalism",
      "gauge invariance",
      "multisymplectic forms",
      "composite fibered bundle"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 713573,
      "adsabs": "2006math.ph...3062P"
    }
  }
}