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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 308
Modular Wedge Localization and the d=1+1 FormfactorProgram B. Schroer
unIn this paper I continue the study of the new framework of modular localization and its constructive use in the nonperturbative d=1+1 Karowski-Weisz-Smirnov formfactor program. Particular attention is focussed on the existence of semilocal generators of the wedge-localized algebra without vauum polarization (FWG-operators) which are closely related to objects fulfilling the Zamolodchikov-Faddeev algebraic structure. They generate a "thermal Hilbert space" and allow a profound understanding of the equivalence of the KMS conditions with the so-called cyclicity equation for formfactors which was known to be closely related to crossing symmetry properties. The modular setting also gives rise to interesting new constructive ideas on "free" d=2+1 anyons and plektons
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