# Towards the construction of quantum field theories from a factorizing S-matrix

February 21, 2005

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.

open access link

Prog.Math.251:175-198,2007

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