Numerical approach to the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory
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. Published by the American Physical Society 2024
Authors
- I. Roditi (ORCID: https://orcid.org/0000-0003-2363-5626)
- M. S. Guimarães (ORCID: https://orcid.org/0000-0003-0057-148X)
- S. P. Sorella (ORCID: https://orcid.org/0000-0002-6051-6960)
- Philipe De Fabritiis (ORCID: https://orcid.org/0000-0001-5455-6889)
Institutions
- Universidade do Estado do Rio de Janeiro (BR)
- Centro Brasileiro de Pesquisas Físicas (BR)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2024-09-09
- DOI
- https://doi.org/10.1103/physrevd.110.065006
- Citations
- 8
- Primary Topic
- Quantum Mechanics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 2.70
Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro