Searching for Bell-CHSH-Violating Bose Operators

Abstract:We construct explicit bounded wedge-local observables for Bell inequalities in a relativistic free Bose field using an exact spectral-fibre approach. The construction turns the relevant canonical pair into measurable fibre involutions and provides an operator-algebraic proof of wedge locality, self-adjointness, unitarity, and exact anticommutation. Translation-cell observables yield an explicit Bell violation with a controlled infinite-tail error, while inclusion of reflection branches produces a substantially larger violation. These results demonstrate that simple bounded local observables can expose Bell nonlocality constructively in relativistic quantum field theory and that the translation-cell result is not artifact but a strictly valid lower bound.

arXiv:2609.05685 [hep-th]

(or arXiv:2609.05685v1 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2609.05685 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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