Using Weyl operators to study Mermin's inequalities in Quantum Field Theory
High Energy Physics - Theory
2024-03-05 v2 Quantum Physics
Abstract
Mermin's inequalities are investigated in a Quantum Field Theory framework by using von Neumann algebras built with Weyl operators. We devise a general construction based on the Tomita-Takesaki modular theory and use it to compute the vacuum expectation value of the Mermin operator, analyzing the parameter space and explicitly exhibiting a violation of Mermin's inequalities. Therefore, relying on the power of modular operators, we are able to demonstrate that Mermin's inequalities are violated when examined within the vacuum state of a scalar field theory.
Cite
@article{arxiv.2312.06918,
title = {Using Weyl operators to study Mermin's inequalities in Quantum Field Theory},
author = {Philipe De Fabritiis and Fillipe M. Guedes and Marcelo S. Guimaraes and Itzhak Roditi and Silvio P. Sorella},
journal= {arXiv preprint arXiv:2312.06918},
year = {2024}
}
Comments
8 pages, 1 figure, revised version. Accepted for publication in PRD