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.

deformations of quantum field theories