# An Algebraic Jost-Schroer Theorem for Massive Theories

December 07, 2010

We consider a purely massive local relativistic quantum theory specified by a family of von Neumann algebras indexed by the space-time regions. We assume that, affiliated with the local algebras, there are operators which create only single particle states from the vacuum and are well-behaved under the space-time translations. Strengthening a result of Borchers, Buchholz and Schroer, we show that then the theory is unitarily equivalent to that of a free field for the corresponding particle type. We admit particles with any spin and localization of the charge in space-like cones, thereby covering the case of
string-localized covariant quantum fields.

open access link
Commun. Math. Phys. 315 (2012) 445-464

@article{Mund:2010wu,
author = "Mund, Jens",
title = "{An Algebraic Jost-Schroer Theorem for Massive Theories}",
journal = "Commun. Math. Phys.",
volume = "315",
year = "2012",
pages = "445-464",
doi = "10.1007/s00220-012-1546-4",
eprint = "1012.1454",
archivePrefix = "arXiv",
primaryClass = "hep-th",
SLACcitation = "%%CITATION = ARXIV:1012.1454;%%"
}

Keywords:

string localized quantum fields