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Deformations of Fermionic Quantum Field Theories and Integrable Models

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Abstract

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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  1. Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090, Vienna, Austria

    Sabina Alazzawi

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  1. Sabina Alazzawi
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Correspondence to Sabina Alazzawi.

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Alazzawi, S. Deformations of Fermionic Quantum Field Theories and Integrable Models. Lett Math Phys 103, 37–58 (2013). https://doi.org/10.1007/s11005-012-0576-3

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  • DOI: https://doi.org/10.1007/s11005-012-0576-3

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