Particle Physics and QFT at the Turn of the Century Old principles with new concepts (an essay on local quantum physics)
Abstract
Description
The present state of QFT is analysed from a new viewpoint whose mathematical basis is the modular theory of von Neumann algebras. Its physical consequences suggest new ways of dealing with interactions, symmetries, Hawking-Unruh thermal properties and possibly also extensions of the scheme of renormalized perturbation theory. Interactions are incorporated by using the fact that the S-matrix is a relative modular invariant of the interacting- relative to the incoming- net of wedge algebras. This new point of view allows many interesting comparisions with the standard quantization approach to QFT and is shown to be firmly rooted in the history of QFT. Its radical ``change of paradigm'' aspect becomes particularily visible in the quantum measurement problem. Key words: Quantum Field Theory, S-matrix Theory, Tomita-Takesaki Modular Theory.
This is an invited contribution to the special Y2K issue of JMP. The Title and part of the original content of my notes hep-th/9810080 was used in the present essay
This is an invited contribution to the special Y2K issue of JMP. The Title and part of the original content of my notes hep-th/9810080 was used in the present essay