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Weyl operators, Tomita-Takesaki theory, and Bell-Clauser-Horne-Shimony-Holt inequality violations

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arxiv 2309.02941 v2 pith:JGA2W7GF submitted 2023-09-06 hep-th quant-ph

P. De Fabritiis , F. M. Guedes , M. S. Guimaraes , G. Peruzzo , I. Roditi , S. P. Sorella This is my paper · ORCID
classification hep-thquant-ph
keywords inequalityoperatorstomita-takesakiweylbell-chshbell-clauser-horne-shimony-holtcomputationconstruction
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The violation of the Bell-CHSH inequality in the vacuum state of a relativistic free real scalar field is established by means of the Tomita-Takesaki construction and of the direct computation of the correlation functions of Weyl operators.

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Cited by 1 Pith paper

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  1. On a class of bounded Hermitian operators for the Bell-CHSH inequality in Quantum Field Theory

    quant-ph 2025-05 conditional novelty 6.0 of 10

    Explicit bounded Hermitian operators built from Weyl operators violate the Bell-CHSH inequality in the vacuum of a 1+1 scalar QFT, with a numerical construction matching modular-theory predictions.

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