Modular Localization and the Bootstrap-Formfactor Program

Abstract

We extend the "modular localization" principle from free to interacting theories and test its power for the special class of d=1+1 factorizing models. 1 The Introduction Presently QFT presents itself as being formed of several parts which seem to drift apart into different directions. On the one hand there is the standard approach which is centered around renormalized perturbation theory and the various quantization methods (canonical, functional). Enriched with geometrical ideas it has led to recent (mainly) mathematical advances via string theory and the Seiberg-Witten Duality structure. On the other hand there is the more algebra-based low dimensional approach which has led to the construction of rich families of chiral conformal and integrable QFT as models in the setting of local Quantum Physics. The latter approach, although being somewhat conservative in its use of physical principles, has nevertheless led to many startling results concerning e.g. fusion of antiparticles from p..