Phase space properties of charged fields in theories of local observables

TL;DR

This paper explores how phase-space properties of observables relate to charged fields in algebraic quantum field theory, focusing on compactness and nuclearity conditions that characterize physically reasonable theories.

Contribution

It establishes a relation between phase-space properties and charged fields, providing a framework for understanding causality and thermal features in algebraic quantum field theory.

Findings

Phase space properties are linked to charged fields via compactness and nuclearity.

The paper reviews phase space analysis concepts in algebraic quantum field theory.

Conditions identified as basis for physically reasonable theories.

Abstract

Within the setting of algebraic quantum field theory a relation between phase-space properties of observables and charged fields is established. These properties are expressed in terms of compactness and nuclearity conditions which are the basis for the characterization of theories with physically reasonable causal and thermal features. Relevant concepts and results of phase space analysis in algebraic quantum field theory are reviewed and the underlying ideas are outlined.