Bell-CHSH inequality and unitary transformations in quantum field theory
Abstract
Abstract Unitary transformations are employed to enhance the violations of the Bell-CHSH inequality in relativistic quantum field theory. The case of the scalar field in $$1+1$$ 1 + 1 Minkowski space-time is scrutinized by relying on the Tomita–Takesaki modular theory. The example of the bounded Hermitian operator $$sign(\varphi (f))$$ s i g n ( φ ( f ) ) , where $$\varphi (f)$$ φ ( f ) stands for the smeared scalar field, is worked out. It is shown that unitary deformations enable for violations of the Bell-CHSH inequality. The setup is generalized to the Proca vector field by means of its equivalence with the scalar theory.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Quasicrystal Structures and Properties
semigroups and automata theory
Publication details
- Journal / source
- The European Physical Journal C
- Publisher
- Springer Science and Business Media LLC
- Volume
- 86
- Issue
- 3
- Publication date
- 6 March 2026
- Language
- EN