Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators

2025/01/06 by M. S. Guimarães, Guimaraes, M. S., I. Roditi +5
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2501.03186

openalex publication_date 2025/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

The use of the vacuum projector |0 ⟩ ⟨ 0| and of the unitary Weyl operators enables us to construct a set of Hermitian dichotomic operators in relativistic scalar Quantum Field Theory in Minkowski spacetime. Employing test functions supported in diamond regions, both Bell and Mermin inequalities are studied by means of a numerical setup. In addition to reporting expressive violations of both inequalities, the cluster property is also checked.

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