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arXiv · 2605.06224

Modular wedge localization, Majorana fields and the Tsirelson limit of the Bell-CHSH inequality

J. G. A. Caribé·M. S. Guimaraes·I. Roditi·S. P. Sorella
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Abstract

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 $h^2(\omega)$ for the modular operator. The resulting analytic families approach the Tsirelson bound in the vacuum state as their spectral weight concentrates near $\omega\approx0$, corresponding to the eigenvalue $\lambda^2 \approx 1$ of the modular operator.

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J. G. A. Caribé, M. S. Guimaraes, I. Roditi, S. P. Sorella. 2026-05-07. Modular wedge localization, Majorana fields and the Tsirelson limit of the Bell-CHSH inequality. https://arxiv.org/abs/2605.06224

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