An Algebraic Spin and Statistics Theorem

Daniele Guido, Roberto Longo
June 23, 1994
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.
open access link Commun.Math.Phys.172:517-534,1995
@article{Guido:1995fy, author = "Guido, Daniele and Longo, Roberto", title = "{An Algebraic spin and statistics theorem}", journal = "Commun. Math. Phys.", volume = "172", year = "1995", pages = "517", doi = "10.1007/BF02101806", eprint = "funct-an/9406005", archivePrefix = "arXiv", primaryClass = "funct-an", SLACcitation = "%%CITATION = FUNCT-AN/9406005;%%" }

Keywords: 
Spin and statistics, PCT, Superselection Theory, Bisognano-Wichmann