Bell-CHSH inequality and unitary transformations in Quantum Field Theory
Quantum Physics
2026-03-09 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Unitary transformations are employed to enhance the violations of the Bell-CHSH inequality in relativistic Quantum Field Theory. The case of the scalar field in Minkowski space-time is scrutinized by relying on the Tomita-Takesaki modular theory. The example of the bounded Hermitian operator , where stands for the smeared scalar field, is worked out. It is shown that unitary deformations enable for violations of the Bell-CHSH inequality. The setup is generalized to the Proca vector field by means of its equivalence with the scalar theory.
Keywords
Cite
@article{arxiv.2412.03840,
title = {Bell-CHSH inequality and unitary transformations in Quantum Field Theory},
author = {D. O. R. Azevedo and F. M. Guedes and M. S. Guimaraes and I. Roditi and S. P. Sorella and A. F. Vieira},
journal= {arXiv preprint arXiv:2412.03840},
year = {2026}
}
Comments
15 pages, one figures, reformulated discussion on the examples of bounded Hermitian operators