Phase space properties and the short distance structure in quantum field theory

TL;DR

This paper explores the relationship between the phase space structure of quantum field theories and the nature of pointlike localized fields, providing a detailed framework for understanding their field content.

Contribution

It introduces a phase space condition that links nuclearity with pointlike localization, offering a new method to analyze quantum field theories' structure.

Findings

Phase space condition characterizes the field content.

Appendix discusses noninteracting models as examples.

Provides a detailed description of the theory's field structure.

Abstract

The paper investigates relations between the phase space structure of a quantum field theory ("nuclearity") and the concept of pointlike localized fields. Given a net of local observable algebras, a phase space condition is introduced that allows a very detailed description of the theory's field content. An appendix discusses noninteracting models as examples.