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Mermin's inequalities in Quantum Field Theory

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arxiv 2303.12195 v3 pith:ANTKG5LZ submitted 2023-03-21 hep-th quant-ph

Philipe De Fabritiis , Itzhak Roditi , Silvio Paolo Sorella This is my paper · ORCID
classification hep-thquant-ph
keywords mermininequalitiesstatesablefieldghz-typeoperatorsquantum
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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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