{
  "id": "1210.5441",
  "version": "v1",
  "published": "2012-10-19T15:15:47.000Z",
  "updated": "2012-10-19T15:15:47.000Z",
  "title": "On the classical limit of self-interacting quantum field Hamiltonians with cutoffs",
  "authors": [
    "Zied Ammari",
    "Maher Zerzeri"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study, using Hepp's method, the propagation of coherent states for a general class of self interacting bosonic quantum field theories with spatial cutoffs. This includes models with non-polynomial interactions in the field variables. We show indeed that the time evolution of coherent states, in the classical limit, is well approximated by time-dependent affine Bogoliubov unitary transformations. Our analysis relies on a non-polynomial Wick quantization and a specific hypercontractive estimate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-19T15:15:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81R30",
      "81T10",
      "81Q20",
      "81V80"
    ],
    "keywords": [
      "self-interacting quantum field hamiltonians",
      "classical limit",
      "time-dependent affine bogoliubov unitary transformations",
      "coherent states",
      "interacting bosonic quantum field theories"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.5441A"
    }
  }
}