Lechner G (2007)
Publication Type: Book chapter / Article in edited volumes
Publication year: 2007
Publisher: Springer Basel
Edited Volumes: Rigorous Quantum Field Theory
Series: Progress in Mathematics
Book Volume: 251
Pages Range: 175-197
DOI: 10.1007/978-3-7643-7434-1_13
Starting from a given factorizing S-matrix S in two space-time dimensions, we review a novel strategy to rigorously construct quantum field theories describing particles whose interaction is governed by S. The construction procedure is divided into two main steps: Firstly certain semi-local Wightman fields are introduced by means of Zamolodchikov’s algebra. The second step consists in proving the existence of local observables in these models. As a new result, an intermediate step in the existence problem is taken by proving the modular compactness condition for wedge algebras.
APA:
Lechner, G. (2007). Towards the construction of quantum field theories from a factorizing S-matrix. In Rigorous Quantum Field Theory. (pp. 175-197). Springer Basel.
MLA:
Lechner, Gandalf. "Towards the construction of quantum field theories from a factorizing S-matrix." Rigorous Quantum Field Theory. Springer Basel, 2007. 175-197.
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