An Algebraic Spin and Statistics Theorem
funct-an
2008-11-26 v2 High Energy Physics - Theory
Operator Algebras
Abstract
A spin-statistics theorem and a PCT theorem are obtained in the context of the superselection sectors in Quantum Field Theory on a 4-dimensional space-time. Our main assumption is the requirement that the modular groups of the von Neumann algebras of local observables associated with wedge regions act geometrically as pure Lorentz transformations. Such a property, satisfied by the local algebras generated by Wightman fields because of the Bisognano-Wichmann theorem, is regarded as a natural primitive assumption.
Cite
@article{arxiv.funct-an/9406005,
title = {An Algebraic Spin and Statistics Theorem},
author = {Daniele Guido and Roberto Longo},
journal= {arXiv preprint arXiv:funct-an/9406005},
year = {2008}
}
Comments
15 pages, plain TeX, an error in the statement of a theorem has been corrected, to appear in Commun. Math. Phys