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Deformations of quantum field theories and integrable models

By Gandalf Lechner


Deformations of quantum field theories which preserve Poincar\'e covariance and localization in wedges are a novel tool in the analysis and construction of model theories. Here a general scenario for such deformations is discussed, and an infinite class of explicit examples is constructed on the Borchers-Uhlmann algebra underlying Wightman quantum field theory. These deformations exist independently of the space-time dimension, and contain the recently studied warped convolution deformation as a special case. In the special case of two-dimensional Minkowski space, they can be used to deform free field theories to integrable models with non-trivial S-matrix.Comment: 36 pages, no figures: Minor changes and corrections in Section 3. Added new Section 5 on von Neumann algebraic formulation, and modular structur

Topics: Mathematical Physics, High Energy Physics - Theory
Year: 2011
DOI identifier: 10.1007/s00220-011-1390-y
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