Work

Modular theory and the Bell-CHSH inequality in relativistic scalar quantum field theory

Year: 2026

Type: article

Abstract: The Tomita–Takesaki modular theory is employed to discuss the Bell-CHSH inequality in wedge regions. By using the Bisognano–Wichmann results, the construction of a set of wedge localized vectors in the one-particle Hilbert space of a relativistic massive scalar field in $$1+1$$ 1 + 1 dimensions is devised to establish whether violations of the Bell-CHSH inequality might occur for different choices of Bell’s operators. In particular, the construction of the wedge localized vectors employed in the seminal work by Summers–Werner is scrutinized and applied to Weyl and other operators. We also outline a possible path towards the saturation of Tsirelson’s bound.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-026-16066-4

Authors: J. G. A. Caribé, M. S. Guimaraes, I. Roditi, S. P. Sorella

Institutions: Universidade Federal Rural do Rio de Janeiro, Universidade do Estado do Rio de Janeiro, ETH Zurich, Centro Brasileiro de Pesquisas Físicas

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

OpenAlex ID: W7169663131