Local Primitive Causality and the Common Cause Principle in Quantum Field Theory |
| |
| Authors: | Miklós Rédei Stephen J Summers |
| |
| Institution: | (1) Department of History and Philosophy of Science, Loránd Eötvös University, P.O. Box 32, H-1518 Budapest 112, Hungary;(2) Department of Mathematics, University of Florida, Gainesville, Florida, 32611 |
| |
| Abstract: | If
(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 (
(V
1
),
(V
2
),  ) is said to satisfy the Weak Reichenbach's Common Cause Principle iff for every pair of projections A
(V
1
), B
(V
2
) correlated in the normal state 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 (
(V
1
),
(V
2
), ) with a locally normal and locally faithful state and suitable bounded V
1
and V
2
satisfies the Weak Reichenbach's Common Cause Principle. |
| |
| Keywords: | causality common cause principle quantum field theory |
| 本文献已被 SpringerLink 等数据库收录！ |
|
