Asymptotic completeness for infraparticles in two-dimensional conformal field theory

TL;DR

This paper introduces a new, more general notion of asymptotic completeness for two-dimensional massless quantum field theories, encompassing infraparticles and extending beyond traditional scattering theory.

Contribution

It formulates a novel concept of asymptotic completeness applicable to a broad class of conformal field theories, including infraparticle models.

Findings

Applicable to all chiral conformal field theories in irreducible product representations

Valid for all completely rational conformal field theories

Includes infraparticle models beyond wave scattering theory

Abstract

We formulate a new concept of asymptotic completeness for two-dimensional massless quantum field theories in the spirit of the theory of particle weights. We show that this concept is more general than the standard particle interpretation based on Buchholz' scattering theory of waves. In particular, it holds in any chiral conformal field theory in an irreducible product representation and in any completely rational conformal field theory. This class contains theories of infraparticles to which the scattering theory of waves does not apply.