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arXiv · 2303.12195

Mermin's inequalities in Quantum Field Theory

Philipe De Fabritiis·Itzhak Roditi·Silvio Paolo Sorella
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Abstract

A relativistic Quantum Field Theory framework is devised for Mermin's inequalities. By employing smeared Dirac spinor fields, we are able to introduce unitary operators which create, out of the Minkowski vacuum $| 0 \rangle$, GHZ-type states. In this way, we are able to obtain a relation between the expectation value of Mermin's operators in the vacuum and in the GHZ-type states. We show that Mermin's inequalities turn out to be maximally violated when evaluated on these states.

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Philipe De Fabritiis, Itzhak Roditi, Silvio Paolo Sorella. 2023-03-21. Mermin's inequalities in Quantum Field Theory. https://doi.org/10.1016/j.physletb.2023.138198

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