Deformations of Fermionic Quantum Field Theories and Integrable Models

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.

20 pages

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Cited by in corpus (9)

• Localization and Entanglement in Relativistic Quantum Physics
• Wedge-local fields in integrable models with bound states
• Quantum Mechanical Effects from Deformation Theory
• On the equivalence of two deformation schemes in quantum field theory
• Algebraic conformal quantum field theory in perspective
• Wedge-Local Quantum Fields on a Nonconstant Noncommutative Spacetime
• Wedge locality and asymptotic commutativity
• Self-Adjointness of Deformed Unbounded Operators
• Wedge Local Deformations of Charged Fields leading to Anyonic Commutation Relations