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Communications in Mathematical Physics

, Volume 110, Issue 2, pp 247–259 | Cite as

Maximal violation of Bell's inequalities is generic in quantum field theory

  • Stephen J. Summers
  • Reinhard Werner
Article

Abstract

Under weak technical assumptions on a net of local von Neumann algebras {A(O)} in a Hilbert space ℋ, which are fulfilled by any net associated to a quantum field satisfying the standard axioms, it is shown that for every vector state φ in ℋ there exist observables localized in complementary wedge-shaped regions in Minkowski space-time that maximally violate Bell's inequalities in the state φ. If, in addition, the algebras corresponding to wedge-shaped regions are injective (which is known to be true in many examples), then the maximal violation occurs in any state φ on ℬ(ℋ) given by a density matrix.

Keywords

Neural Network Statistical Physic Hilbert Space Field Theory Complex System 
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

© Springer-Verlag 1987

Authors and Affiliations

  • Stephen J. Summers
    • 1
  • Reinhard Werner
    • 2
  1. 1.Department of MathematicsUniversity of RochesterRochesterUSA
  2. 2.Fachbereich PhysikUniversität OsnabrückOsnabrückFederal Republic of Germany

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