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Mermin's inequalities in Quantum Field Theory

High Energy Physics - Theory 2023-10-12 v3 Quantum Physics

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| 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.

Keywords

Cite

@article{arxiv.2303.12195,
  title  = {Mermin's inequalities in Quantum Field Theory},
  author = {Philipe De Fabritiis and Itzhak Roditi and Silvio Paolo Sorella},
  journal= {arXiv preprint arXiv:2303.12195},
  year   = {2023}
}

Comments

8 pages, published in PLB