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

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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.

fields

hep-ph 1

years

2024 1

verdicts

CONDITIONAL 1

representative citing papers

Measuring Quantum Discord at the LHC

hep-ph · 2024-12-30 · conditional · novelty 6.0

The authors derive closed-form formulas for quantum discord in the ttbar system and predict it can be measured at the LHC with sub-percent precision using the kinematic method.

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  • Measuring Quantum Discord at the LHC hep-ph · 2024-12-30 · conditional · none · ref 75 · internal anchor

    The authors derive closed-form formulas for quantum discord in the ttbar system and predict it can be measured at the LHC with sub-percent precision using the kinematic method.