Using Weyl operators to study Mermin's inequalities in Quantum Field Theory

Autor:	De Fabritiis, Philipe, Guedes, Fillipe M., Guimaraes, Marcelo S., Roditi, Itzhak, Sorella, Silvio P.
Rok vydání:	2023
Předmět:	High Energy Physics - Theory Quantum Physics
Zdroj:	Phys. Rev. D 109, 045020 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.109.045020
Popis:	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. Comment: 8 pages, 1 figure, revised version. Accepted for publication in PRD
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.06918 Zobrazit plný text záznamu View this record from Arxiv