Local Primitive Causality and the Common Cause Principle in Quantum Field Theory

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dc.creatorRedei, Miklos
dc.creatorSummers, Stephen J.
dc.date2001-08-06
dc.date.accessioned2026-07-07T06:02:32Z
dc.date.available2026-07-07T06:02:32Z
dc.descriptionIf \{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 \in A(V_1), B \in A(V_2) correlated in the normal state ϕthere 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 ϕand open bounded V_1 and V_2 satisfies the Weak Reichenbach's Common Cause Principle.
dc.description14 pages, Latex
dc.identifierhttps://arxiv.org/abs/quant-ph/0108023
dc.identifierhttp://arxiv.org/abs/quant-ph/0108023
dc.identifierFound.Phys. 32 (2002) 335-355
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89636
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleLocal Primitive Causality and the Common Cause Principle in Quantum Field Theory
dc.typetext

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