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Deformations of Quantum Field Theories and Integrable Models

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Abstract

Deformations of quantum field theories which preserve Poincaré 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.

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Correspondence to Gandalf Lechner.

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Communicated by Y. Kawahigashi

Supported by FWF project P22929–N16 “Deformations of Quantum Field Theories”.

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Lechner, G. Deformations of Quantum Field Theories and Integrable Models. Commun. Math. Phys. 312, 265–302 (2012). https://doi.org/10.1007/s00220-011-1390-y

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