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Recently, Grosse and Lechner introduced a novel deformation procedure fornon-interacting quantum field theories, giving rise to interesting examples ofwedge-localized quantum fields with a non-trivial scattering matrix. In thepresent article we outline an extension of this procedure to the generalframework of quantum field theory by introducing the concept of warpedconvolutions: given a theory, this construction provides wedge-localizedoperators which commute at spacelike distances, transform covariantly under theunderlying representation of the Poincare group and admit a scattering theory.The corresponding scattering matrix is nontrivial but breaks the Lorentzsymmetry, in spite of the covariance and wedge-locality properties of thedeformed operators.

Warped Convolutions: A Novel Tool in the Construction of Quantum Field Theories