Warped Convolutions: A Novel Tool in the Construction of Quantum Field Theories
arXiv:0806.0349 · doi:10.1142/9789812833556_0007
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.
13 pages, 1 figure, talk given by DB at Ringberg Symposium in honor of W. Zimmermann, February 2008
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