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Foundations of Physics

, Volume 27, Issue 10, pp 1309–1321 | Cite as

Reichenbach's common cause principle and quantum field theory

  • Miklós Rédei
Article

Abstract

Reichenbach's principles of a probabilistic common cause of probabilistic correlations is formulated in terms of relativistic quantum field theory, and the problem is raised whether correlations in relativistic quantum field theory between events represented by projections in local observable algebrasA(V1) andA(V2) pertaining to spacelike separated spacetime regions V1 and V2 can be explained by finding a probabilistic common cause of the correlation in Reichenbach's sense. While this problem remains open, it is shown that if all superluminal correlations predicted by the vacuum state between events inA(V1) andA(V2) have a genuinely probabilistic common cause, then the local algebrasA(V1) andA(V2) must be statistically independent in the sense of C*-independence.

Keywords

Statistical Independence Spacetime Region Local Algebra Split Property Maximal Violation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • Miklós Rédei
    • 1
  1. 1.Faculty of Natural SciencesLoránd Eötvös UniversityBudapestHungary

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