Modular Theory and Geometry

1998/09/02 by B. Schroer, H. -W. Wiesbock · 1 citation
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP

paper · pdf

published as Rev.Math.Phys. 12 (2000) 139-158 · 19 pages TCI-Latex

arxiv created 1998/09/02 · arxiv updated 2009/11/30

Abstract

In this letter we present some new results on modular theory and its application in quantum field theory. In doing this we develop some new proposals how to generalize concepts of geometrical action. Therefore the spirit of this letter is more on a programmatic side with many details remaining to be elaborated.

Cited by

• The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type III to Type II_∞ v.Neumann Algebras and Connections to Quantum Gravity

Related

• Modular Theory and Eyvind Wichmann's Contributions to modern Particle Physics Theory
• Modular Constructions of Quantum Field Theories with Interactions
• What is geometry in quantum theory
• Lectures on Elliptic Functions and Modular Forms in Conformal Field Theory
• Particle Physics and QFT at the Turn of the Century Old principles with new concepts (an essay on local quantum physics)