Mathematical Physics and Quantum Field Theory
Electron. J. Diff. Eqns., Conf. 04, 2000, pp. 175-195..

Modular theory and Eyvind Wichmann's contributions to modern particle physics theory

Bert Schroer

Some of the consequences of Eyvind Wichmann's contributions to modular theory and the QFT phase-space structure are presented. In order to show the power of those ideas in contemporary problems, I selected the issue of algebraic holography as well as a new nonperturbative constructive approach (based on the modular structure of wedge-localized algebras and modular inclusions) and show that these ideas are recent consequences of the pathbreaking work which Wichmann together with his collaborator Bisognano initiated in the mid Seventies.

Published July 12, 2000.
Mathematics Subject Classifications: 46L05, 81T05, 47L90.
Key words: Local Quantum Physics, modular theory, algebraic holography, constructive quantum field theory.

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Bert Schroer
Institut für Theoretische Physik der FU-Berlin
and CBPF, Rua Dr. Xavier Sigaud, 150
22290-180 Rio de Janeiro, RJ, Brazil
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