Mathematical Physics and Quantum Field Theory

Electron. J. Diff. Eqns., Conf. 04, 2000, pp. 175-195..

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

Bert Schroer

**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.

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

e-mail: schroer@cbpfsu1.cat.cbpf.br

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