A numerical approach to the Bell-CHSH inequality in Quantum Field Theory
- URL: http://arxiv.org/abs/2406.20033v1
- Date: Fri, 28 Jun 2024 16:24:24 GMT
- Title: A numerical approach to the Bell-CHSH 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 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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