Deformations of Fermionic Quantum Field Theories and Integrable Models

Details Deformations of Fermionic Quantum Field Theories and Integrable Models Deformations of Fermionic Quantum Field Theories and Integrable Models

2012-03-09

arxiv.org/abs/1203.2058v1

Physics

Mathematical Physics

20 pages

Scientific paper

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.

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