# Construction of Quantum Field Theories with Factorizing S-Matrices

@article{Lechner2008ConstructionOQ, title={Construction of Quantum Field Theories with Factorizing S-Matrices}, author={Gandalf Lechner}, journal={Communications in Mathematical Physics}, year={2008}, volume={277}, pages={821-860} }

A new approach to the construction of interacting quantum field theories on two-dimensional Minkowski space is discussed. In this program, models are obtained from a prescribed factorizing S-matrix in two steps. At first, quantum fields which are localized in infinitely extended, wedge-shaped regions of Minkowski space are constructed explicitly. In the second step, local observables are analyzed with operator-algebraic techniques, in particular by using the modular nuclearity condition of…

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