Fulltext

A Criterion for Asymptotic Completeness in Local Relativistic QFT

Dybalski, Wojciech ; Gérard, Christian

In: Communications in Mathematical Physics, 2014, vol. 332, no. 3, p. 1167-1202

Aggiungi alla tua lista
    Titre
    • A Criterion for Asymptotic Completeness in Local Relativistic QFT
    Auteur
    • Dybalski, Wojciech. Institut für Theoretische Physik, ETH Zürich, 8093, Zurich, Switzerland
    • Gérard, Christian. Département de Mathématiques, Université de Paris XI, 91405, Orsay Cedex, France
    Type de document
    • Postprint
    Langue
    • Inglese
    Publié dans
    • Communications in Mathematical Physics, 2014, vol. 332, no. 3, p. 1167-1202. Springer Berlin Heidelberg
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:326048
    Summary
    We formulate a generalized concept of asymptotic completeness and show that it holds in any Haag-Kastler quantum field theory with an upper and lower mass gap. It remains valid in the presence of pairs of oppositely charged particles in the vacuum sector, which invalidate the conventional property of asymptotic completeness. Our result can be restated as a criterion characterizing a class of theories with complete particle interpretation in the conventional sense. This criterion is formulated in terms of certain asymptotic observables (Araki-Haag detectors) whose existence, as strong limits of their approximating sequences, is our main technical result. It is proven with the help of a novel propagation estimate, which is also relevant to scattering theory of quantum mechanical dispersive systems.