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This is a Quantitative Study study.

October 8, 2025Open Access

On a class of bounded Hermitian operators for the Bell-CHSH inequality in Quantum Field Theory

Key Points

The study reveals violations of the Bell-CHSH inequality in Quantum Field Theory, enhancing our understanding of quantum entanglement.
Using bounded Hermitian operators, the approach integrates both analytical and numerical methods for comprehensive analysis.
The analysis employs the modular theory of Tomita-Takesaki for the analytical method, showcasing advanced mathematical techniques.
Causal tangent diamonds in $1+1$ Minkowski spacetime are specifically examined, providing context to quantum relativistic frameworks.

Abstract

The violation of the Bell-CHSH inequality in a relativistic scalar Quantum Field Theory is analysed by means of a set of bounded Hermitian operators constructed out of the unitary Weyl operators. These operators allow for both analytic and numerical approaches. While the former relies on the modular theory of Tomita-Takesaki, the latter is devised through an explicit construction of the test functions needed for the localization of the aforementioned operators. The case of causal tangent diamonds in 1+1 Minkowski spacetime is scrutinized.

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Cite this study

Guimarães et al. (Sat,) studied this question.

www.synapsesocial.com/papers/68e6d7971ffa7aa7d63d1806 — DOI: https://doi.org/10.48550/arxiv.2506.00504

Authors

M. S. Guimarães

I. Roditi

S. P. Sorella

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On a class of bounded Hermitian operators for the Bell-CHSH inequality in Quantum Field Theory

Key Points

Abstract

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Discussion

Cite this study

Authors

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References and Citations

Citation Network

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