Modular wedge localization, Majorana fields and the Tsirelson limit of the Bell-CHSH inequality
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866909021871538176 |
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| author | Caribé, J. G. A. Guimaraes, M. S. Roditi, I. Sorella, S. P. |
| author_facet | Caribé, J. G. A. Guimaraes, M. S. Roditi, I. Sorella, S. P. |
| contents | The massive Majorana field in $1+1$ dimension is employed to investigate the violation of the Bell-CHSH inequality in relativistic Quantum Field Theory. We give an explicit rapidity-space realization of the Summers-Werner modular-localization construction and reduce the vacuum Bell-CHSH correlator to a single spectral weight $h^2(ω)$ for the modular operator. The resulting analytic families approach the Tsirelson bound in the vacuum state as their spectral weight concentrates near $ω\approx0$, corresponding to the eigenvalue $λ^2 \approx 1$ of the modular operator. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_06224 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Modular wedge localization, Majorana fields and the Tsirelson limit of the Bell-CHSH inequality Caribé, J. G. A. Guimaraes, M. S. Roditi, I. Sorella, S. P. High Energy Physics - Theory Mathematical Physics Quantum Physics The massive Majorana field in $1+1$ dimension is employed to investigate the violation of the Bell-CHSH inequality in relativistic Quantum Field Theory. We give an explicit rapidity-space realization of the Summers-Werner modular-localization construction and reduce the vacuum Bell-CHSH correlator to a single spectral weight $h^2(ω)$ for the modular operator. The resulting analytic families approach the Tsirelson bound in the vacuum state as their spectral weight concentrates near $ω\approx0$, corresponding to the eigenvalue $λ^2 \approx 1$ of the modular operator. |
| title | Modular wedge localization, Majorana fields and the Tsirelson limit of the Bell-CHSH inequality |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2605.06224 |