TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.5.201
TI  - BRST invariant formulation of the Bell-CHSH inequality in gauge field  theories
PY  - 2023/11/23
UR  - https://scipost.org/SciPostPhys.15.5.201
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 5
SP  - 201
A1  - Dudal, David
AU  - De Fabritiis, Philipe
AU  - Guimaraes, Marcelo Santos
AU  - Peruzzo, Giovani
AU  - Sorella, Silvio Paolo
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.15.5.201,
	title={{BRST invariant formulation of the Bell-CHSH inequality in gauge field  theories}},
	author={David Dudal and Philipe De Fabritiis and Marcelo Santos Guimaraes and Giovani Peruzzo and Silvio Paolo Sorella},
	journal={SciPost Phys.},
	volume={15},
	pages={201},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.5.201},
	url={https://scipost.org/10.21468/SciPostPhys.15.5.201},
}