|
|
Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 380
Test of new Nonperturbative Concepts in d=1+1 Factorizing Models of QFT Bert Schroer
This paper deals with operators (PFG), which are localizedin Minkowski space wedges (Rindler or Bisognano-Wichmann) regions, and yetare free of those polarization clouds which are typical of vectors obtainedby applying interacting operators with smaller localization regions or localfields to the vacuum. They relate the (off-shell) KMS properties for thethermal Unruh wedge localization to the on-shell concept of crossing symmtryin a surprizingly deep way, and create new understanding in an area of QFTwhich hitherto remained somewhat obscure from the point of view of particlephysics. The first test of these concepts, carried out on theKarowski-Weisz-Smirnov axiomatic approach to factorizable d=1+1 models,yields not only a deep understanding, but also opens new ideas in thebootstrap-formfactor approach. The findings suggest the existence of a newnonperturbative framework of QFT in which interactions are not defined andimplemented by (interaction parts) of Lagrangians or closely relatedfunctional integrals, but rather by certain properties of the wedge algebras.
The sharpening of localization starting from wedges is done by the processof "quantum localization" via the intersection of algebras instead of theclassical localization in terms of the support of testing functions. Thisnew paradigm in QFT also leads to change of emphasis away from shortdistance properties of individual fields deciding over the existence andrenormalizability of models in favor of nontriviality of intersections ofwedge algebras.
Get a gzip-compressed PostScript copy of this preprint
preprint380.ps.gz (96 kB)