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An Algebraic Spin and Statistics Theorem

Daniele Guido·Roberto Longo
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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.

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Daniele Guido, Roberto Longo. 1995-07-24. An Algebraic Spin and Statistics Theorem. https://doi.org/10.1007/bf02101806

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