On the PCT--Theorem in the Theory of Local Observables

TL;DR

This paper reviews the PCT-theorem in local observable quantum field theory, provides a new proof similar to Jost's, explores algebraic implications, and discusses examples and open problems.

Contribution

It offers a novel proof of the PCT-theorem in local observables theory and examines algebraic consequences and examples related to PCT-symmetry.

Findings

New proof of the PCT-theorem similar to Jost's approach

Analysis of algebraic implications of PCT-symmetry

Examples illustrating open problems in the theory

Abstract

We review the PCT-theorem and problems connected with its demonstration. We add a new proof of the PCT-theorem in the theory of local observables which is similar to that one of Jost in Wightman quantum field theory. We also look at consequences in case the PCT-symmetry is given on the algebraic level. At the end we present some examples which answer general questions and throw some light on open problems.