{
  "id": "1101.5112",
  "version": "v5",
  "published": "2011-01-26T17:31:44.000Z",
  "updated": "2011-07-05T17:23:02.000Z",
  "title": "Batalin-Vilkovisky formalism in the functional approach to classical field theory",
  "authors": [
    "Klaus Fredenhagen",
    "Katarzyna Rejzner"
  ],
  "comment": "42 pages, improved formulation, typos corrected",
  "categories": [
    "math-ph",
    "gr-qc",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We develop the Batalin-Vilkovisky formalism for classical field theory on generic globally hyperbolic spacetimes. A crucial aspect of our treatment is the incorporation of the principle of local covariance which amounts to formulate the theory without reference to a distinguished spacetime. In particular, this allows a homological construction of the Poisson algebra of observables in classical gravity. Our methods heavily rely on the differential geometry of configuration spaces of classical fields.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2011-07-05T17:23:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical field theory",
      "batalin-vilkovisky formalism",
      "functional approach",
      "generic globally hyperbolic spacetimes",
      "crucial aspect"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-012-1487-y",
      "journal": "Communications in Mathematical Physics",
      "year": 2012,
      "month": "Aug",
      "volume": 314,
      "number": 1,
      "pages": 93
    },
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 885636,
      "adsabs": "2012CMaPh.314...93F"
    }
  }
}