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Local primitive causality and the common cause principle in quantum field theory

Rédei, Miklós and Summers, Stephen J. (2002) Local primitive causality and the common cause principle in quantum field theory. Foundations of Physics, 32 (3). pp. 335-355. ISSN 0015-9018

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Identification Number: 10.1023/A:1014869211488

Abstract

If A (V) is a net of local von Neumann algebras satisfying standard axioms of algebraic relativistic quantum field theory and V 1 and V 2 are spacelike separated spacetime regions, then the system ( A (V 1 ), A (V 2 ), φ) is said to satisfy the Weak Reichenbach's Common Cause Principle iff for every pair of projections A∈ A (V 1 ), B∈ A (V 2 ) correlated in the normal state φ there exists a projection C belonging to a von Neumann algebra associated with a spacetime region V contained in the union of the backward light cones of V 1 and V 2 and disjoint from both V 1 and V 2 , a projection having the properties of a Reichenbachian common cause of the correlation between A and B. It is shown that if the net has the local primitive causality property then every local system ( A (V 1 ), A (V 2 ), φ) with a locally normal and locally faithful state φ and suitable bounded V 1 and V 2 satisfies the Weak Reichenbach's Common Cause Principle.

Item Type: Article
Official URL: http://www.springer.com/physics/history+%26+philos...
Additional Information: © 2002 Springer Netherlands
Divisions: LSE
Subjects: H Social Sciences > HA Statistics
Date Deposited: 26 Apr 2013 09:56
Last Modified: 20 Jun 2019 00:28
URI: http://eprints.lse.ac.uk/id/eprint/49736

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