Towards the construction of quantum field theories from a factorizing S-matrix
Abstract
Description
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.
25 pages, no figures. To appear in the proceedings of the conference "Rigorous Quantum Field Theory", Saclay 2004, in the honour of J. Bros
25 pages, no figures. To appear in the proceedings of the conference "Rigorous Quantum Field Theory", Saclay 2004, in the honour of J. Bros