Remarks on Causality in Relativistic Quantum Field Theory

Abstract

It is shown that the correlations predicted by relativistic quantum field theory in locally normal states between projections in local von Neumann algebras $\cA(V_1),\cA(V_2)$ associated with spacelike separated spacetime regions $V_1,V_2$ have a (Reichenbachian) common cause located in the union of the backward light cones of $V_1$ and $V_2$. Further comments on causality and independence in quantum field theory are made.

10 pages, Latex, Quantum Structures 2002 Conference Proceedings submission. Minor revision of the order of definitions on p. 3

References in corpus (2)

• Scaling Algebras and Renormalization Group in Algebraic Quantum Field Theory
• Generic Bell correlation between arbitrary local algebras in quantum field theory

Cited by in corpus (4)

• Reichenbach's Common Cause Principle in Algebraic Quantum Field Theory with Locally Finite Degrees of Freedom
• Noncommuting local common causes for correlations violating the Clauser-Horne inequality
• Noncommutative Common Cause Principles in Algebraic Quantum Field Theory
• Distinguishing Causality Principles