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The Bell-CHSH inequality in the vacuum state of a relativistic scalar quantum field is analyzed. Using Weyl operators built with smeared fields localized in the Rindler wedges, the Bell-CHSH inequality is expressed in terms of the Lorentz invariant inner products of test functions. A numerical framework for these inner products is devised. Causality is also explicitly checked by a numerical evaluation of the Pauli-Jordan function. Violations of the Bell-CHSH inequality are reported for different values of the particle mass parameter.
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Fabritiis et al. (Fri,) studied this question.
www.synapsesocial.com/papers/68e62e92b6db6435875c05d5 — DOI: https://doi.org/10.48550/arxiv.2406.20033
Philipe De Fabritiis
M. S. Guimarães
I. Roditi
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