BRST invariant formulation of the Bell-CHSH inequality in gauge field theories

• URL: http://arxiv.org/abs/2304.01028v2
• Date: Tue, 17 Oct 2023 01:08:54 GMT
• Title: BRST invariant formulation of the Bell-CHSH inequality in gauge field theories
• Authors: David Dudal, Philipe De Fabritiis, Marcelo S. Guimaraes, Giovani Peruzzo, Silvio P. Sorella
• Abstract summary: The Bell-CHSH inequality is formulated in a manifestly BRST invariant way. The inequality is probed by using BRST invariant squeezed states, allowing for large Bell-CHSH inequality violations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A study of the Bell-CHSH inequality in gauge field theories is presented. By using the Kugo-Ojima analysis of the BRST charge cohomology in Fock space, the Bell-CHSH inequality is formulated in a manifestly BRST invariant way. The examples of the free four-dimensional Maxwell theory and the Abelian Higgs model are scrutinized. The inequality is probed by using BRST invariant squeezed states, allowing for large Bell-CHSH inequality violations, close to Tsirelson's bound. An illustrative comparison with the entangled state of two $1/2$ spin particles in Quantum Mechanics is provided.

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