Commutativity and Causal Independence

B. De Facio; Donald Curtis Taylor

doi:10.1103/PhysRevD.8.2729

Commutativity and Causal Independence

B. De Facio^*

Donald Curtis Taylor^†

Ames Laboratory-USAEC and Department of Physics, Iowa State University, Ames, Iowa 50010

Department of Mathematics, University of Missouri-Columbia, Missouri 65201

^*Summer Faculty Member. Permanent address: Department of Physics, University of Missouri-Columbia, Columbia, Missouri 65201.
^†Present address: Department of Mathematics, Montana State University, Bozeman, Montana, 59715.

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Phys. Rev. D 8, 2729 – Published 15 October, 1973

DOI: https://doi.org/10.1103/PhysRevD.8.2729

Abstract

We show that the original question concerning the relation between casual independence and local commutativity by Haag and Kastler remains open. Ekstein has given an infinite-dimensional reducible example which shows that causal independence neither implies local commutativity nor necessarily follows from local commutativity, and we supply a finite-dimensional example of this interesting fact.

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Physical Review D

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