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 spacetime. 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.

Guido, D., Longo, R. (1995). An algebraic spin and statistics theorem. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 172(3), 517-533 [10.1007/BF02101806].

An algebraic spin and statistics theorem

GUIDO, DANIELE;LONGO, ROBERTO
1995-01-01

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 spacetime. 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.
1995
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - ANALISI MATEMATICA
English
Con Impact Factor ISI
QUANTUM-FIELD THEORY; LOCAL OBSERVABLES; PARTICLE STATISTICS; DUALITY CONDITION; KMS STATES; SUBFACTORS; INDEX
Guido, D., Longo, R. (1995). An algebraic spin and statistics theorem. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 172(3), 517-533 [10.1007/BF02101806].
Guido, D; Longo, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/43715
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