Numerical approach to the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory

• URL: http://arxiv.org/abs/2406.20033v2
• Date: Fri, 13 Sep 2024 14:28:07 GMT
• Title: Numerical approach to the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory
• Authors: Philipe De Fabritiis, Marcelo S. Guimaraes, Itzhak Roditi, Silvio P. Sorella,
• Abstract summary: The Bell-CHSH inequality is expressed in terms of the Lorentz invariant inner products of test functions. Violations of the Bell-CHSH inequality are reported for different values of the particle mass parameter.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Bell-CHSH (Clauser-Horne-Shimony-Holt) 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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