Numerical approach to the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912026372079616 |
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| author | De Fabritiis, Philipe Guimaraes, Marcelo S. Roditi, Itzhak Sorella, Silvio P. |
| author_facet | De Fabritiis, Philipe Guimaraes, Marcelo S. Roditi, Itzhak Sorella, Silvio P. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_20033 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical approach to the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory De Fabritiis, Philipe Guimaraes, Marcelo S. Roditi, Itzhak Sorella, Silvio P. High Energy Physics - Theory Quantum Physics 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. |
| title | Numerical approach to the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2406.20033 |