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Communications in Mathematical Physics

, Volume 312, Issue 1, pp 265–302 | Cite as

Deformations of Quantum Field Theories and Integrable Models

  • Gandalf Lechner
Article

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.

Keywords

Invariant State Spectrum Condition Double Cone Opposite Deformation Wedge Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Faculty of PhysicsUniversity of ViennaViennaAustria

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