# Deformations of Fermionic Quantum Field Theories and Integrable Models

Sabina Alazzawi
March 12, 2012
Considering the model of a scalar massive Fermion, it is shown that by means of deformation techniques it is possible to obtain all integrable quantum field theoretic models on two-dimensional Minkowski space which have factorizing S-matrices corresponding to two-particle scattering functions $S_2$ satisfying $S_2(0) = -1$. Among these models there is for example the Sinh-Gordon model. Our analysis provides a complement to recent developments regarding deformations of quantum field theories. The deformed model is investigated also in higher dimensions. In particular, locality and covariance properties are analyzed.

Keywords:
deformations of quantum field theories