Explicit bounded Hermitian operators built from Weyl operators violate the Bell-CHSH inequality in the vacuum of a 1+1 scalar QFT, with a numerical construction matching modular-theory predictions.
Investigation of the Bell-CHSH inequality in diamond regions
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abstract
A numerical setup for the Bell-CHSH inequality for causal diamonds in $1+1$ Minkowski spacetime is presented. Upon choosing a suitable set of test functions supported in the diamonds, sensible violations are reported for the correlation function of Weyl operators of a real scalar massive field in the vacuum state.
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On a class of bounded Hermitian operators for the Bell-CHSH inequality in Quantum Field Theory
Explicit bounded Hermitian operators built from Weyl operators violate the Bell-CHSH inequality in the vacuum of a 1+1 scalar QFT, with a numerical construction matching modular-theory predictions.