BRST invariant formulation of the Bell-CHSH inequality in gauge field theories
David Dudal, Philipe De Fabritiis, Marcelo Santos Guimaraes, Giovani Peruzzo, Silvio Paolo Sorella
SciPost Phys. 15, 201 (2023) · published 23 November 2023
- doi: 10.21468/SciPostPhys.15.5.201
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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.
Cited by 2
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 David Dudal,
- 2 Philipe De Fabritiis,
- 3 Marcelo Santos Guimaraes,
- 4 Giovani Peruzzo,
- 3 Silvio Paolo Sorella
- 1 Katholieke Universiteit Leuven / KU Leuven [KU Leuven]
- 2 Centro Brasileiro de Pesquisas Físicas / Brazilian Center for Research in Physic [CBPF]
- 3 Universidade do Estado do Rio de Janeiro / Rio de Janeiro State University [UERJ]
- 4 Universidade Federal Fluminense / Fluminense Federal University [UFF]