{
  "id": "1311.2490",
  "version": "v1",
  "published": "2013-11-11T16:42:16.000Z",
  "updated": "2013-11-11T16:42:16.000Z",
  "title": "Semiclassical quantization of classical field theories",
  "authors": [
    "Alberto S. Cattaneo",
    "Pavel Mnev",
    "Nicolai Reshetikhin"
  ],
  "comment": "Based on the Les Houches lectures given by authors in February 2012",
  "categories": [
    "math-ph",
    "hep-th",
    "math.DG",
    "math.MP"
  ],
  "abstract": "These lectures are an introduction to formal semiclassical quantization of classical field theory. First we develop the Hamiltonian formalism for classical field theories on space time with boundary. It does not have to be a cylinder as in the usual Hamiltonian framework. Then we outline formal semiclassical quantization in the finite dimensional case. Towards the end we give an example of such a quantization in the case of Abelian Chern-Simons theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-11T16:42:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical field theory",
      "finite dimensional case",
      "outline formal semiclassical quantization",
      "abelian chern-simons theory",
      "usual hamiltonian framework"
    ],
    "tags": [
      "lecture notes"
    ],
    "publication": {
      "doi": "10.1007/978-3-319-09949-1_9"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1264062,
      "adsabs": "2013arXiv1311.2490C"
    }
  }
}