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

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

1997-12-12

arxiv.org/abs/hep-th/9712124v5

Annals Phys. 275 (1999) 190-223

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1006/aphy.1999.5921

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.

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