Wigner's inequalities in quantum field theory

TL;DR

This paper generalizes Wigner's inequality to relativistic quantum field theory, analyzing spin correlations in particle decays and exploring implications for testing quantum principles.

Contribution

It introduces a relativistic version of Wigner's inequality for scalar and pseudoscalar particles, extending previous non-relativistic formulations.

Findings

Derived relativistic Wigner's inequalities for scalar and pseudoscalar particles.

Analyzed spin anticorrelation and correlation cases in relativistic decays.

Discussed potential for relativistic tests of Bohr's complementarity principle.

Abstract

We present a relativistic generalization of the Wigner inequality for the scalar and pseudoscalar particles decaying to two particles with spin (fermions and photons.) We consider Wigner's inequality with the full spin anticorrelation (with the non-relativistic analog) as well as the case with the full spin correlation. The latter case may be obtained by a special choice of the plane of measurement of the spin projections on the direction of propagation of fermions. The possibility for relativistic testing of Bohr's complementarity principle is shown.