Haag-Ruelle scattering theory in presence of massless particles

TL;DR

This paper extends Haag-Ruelle scattering theory to include stable, massive particles in theories without mass gaps, using harmonic analysis of local operators under Herbst's regularity condition.

Contribution

It introduces a new scattering theory framework for theories without mass gaps, expanding the applicability of Haag-Ruelle theory.

Findings

Constructs a scattering theory for massive particles without mass gaps.

Relies on harmonic analysis of local operators and Herbst's regularity property.

Discusses the implications and status of the regularity assumption.

Abstract

Within the framework of local quantum physics we construct a scattering theory of stable, massive particles without assuming mass gaps. This extension of the Haag-Ruelle theory is based on advances in the harmonic analysis of local operators. Our construction is restricted to theories complying with a regularity property introduced by Herbst. The paper concludes with a brief discussion of the status of this assumption.