{
  "id": "0806.0349",
  "version": "v1",
  "published": "2008-06-02T18:28:12.000Z",
  "updated": "2008-06-02T18:28:12.000Z",
  "title": "Warped Convolutions: A Novel Tool in the Construction of Quantum Field Theories",
  "authors": [
    "Detlev Buchholz",
    "Stephen J. Summers"
  ],
  "comment": "13 pages, 1 figure, talk given by DB at Ringberg Symposium in honor of W. Zimmermann, February 2008",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Recently, Grosse and Lechner introduced a novel deformation procedure for non-interacting quantum field theories, giving rise to interesting examples of wedge-localized quantum fields with a non-trivial scattering matrix. In the present article we outline an extension of this procedure to the general framework of quantum field theory by introducing the concept of warped convolutions: given a theory, this construction provides wedge-localized operators which commute at spacelike distances, transform covariantly under the underlying representation of the Poincare group and admit a scattering theory. The corresponding scattering matrix is nontrivial but breaks the Lorentz symmetry, in spite of the covariance and wedge-locality properties of the deformed operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-02T18:28:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum field theory",
      "warped convolutions",
      "novel tool",
      "construction",
      "non-interacting quantum field theories"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 787138,
      "adsabs": "2008qftb.conf..107B"
    }
  }
}