- 94-211 Guido D. , Longo R.
- An algebraic Spin and Statistics theorem. I
(56K, Plain TeX)
Jun 23, 94
(auto. generated ps),
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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.