paper

Modular Wedge Localization and the d=1+1 Formfactor Program

arXiv:hep-th/9712124 · doi:10.1006/aphy.1999.5921

Abstract

In 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 to understand 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 gives rise to interesting new ideas on ``free'' d=2+1 anyons and plektons.

the fourth section has been rewritten in order to remove an error and to gain additional clarity. 32 pages, tcilatex

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