# Deformations of quantum field theories and integrable models

April 11, 2011

Deformations of quantum field theories which preserve PoincarĂ© 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:

deformations of quantum field theories, integrable models