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 algebras associated to wedge regions, there are operators which create only single particle states from the vacuum (so-called polarization-free generators) 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. © 2012 Springer-Verlag.
CITATION STYLE
Mund, J. (2012). An Algebraic Jost-Schroer Theorem for Massive Theories. Communications in Mathematical Physics, 315(2), 445–464. https://doi.org/10.1007/s00220-012-1546-4
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