Electronic Journal of Differential Equations,
Conference 04 (2000), pp. 175-195.

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

Author: Bert Schroer (Institut fur Theoretische Physik der FU-Berlin, Germany)
 
Abstract: 
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.
Math Subject Classifications: 46L05, 81T05, 47L90.
Key Words: Local Quantum Physics; modular theory; algebraic holography; 
constructive quantum field theory.