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

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.

13 pages, two figures, refs. added

arXiv:2605.06224 [hep-th]

(or arXiv:2605.06224v2 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2605.06224 Focus to learn more arXiv-issued DOI via DataCite

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