Deformations of quantum field theories and integrable models

Details Deformations of quantum field theories and integrable models Deformations of quantum field theories and integrable models

2011-04-11

arxiv.org/abs/1104.1948v2

Physics

Mathematical Physics

36 pages, no figures: Minor changes and corrections in Section 3. Added new Section 5 on von Neumann algebraic formulation, an

Scientific paper

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.

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