Axial Anomaly, entanglement and polarization

TL;DR

This paper explores the implications of axial anomaly on photon entanglement, polarization effects, and their experimental signatures in particle decays, highlighting non-locality, causality, and magnetic field interactions.

Contribution

It introduces a novel perspective linking axial anomaly-induced decays to entanglement and polarization phenomena, with potential experimental applications in high-energy physics.

Findings

Photon entanglement linked to axial anomaly

Manifestation of non-locality in angular momentum conservation

Effects of magnetic fields on decay processes and polarization

Abstract

The (pion) decays controlled by axial anomaly imply the specific entanglement between photons having also the counterparts for classical electromagnetic waves. This is also a specific case of Eisnstein-Podolsky-Rosen-Bohm-Aharonov effect. The absence of causality and non-locality in (angular) momentum conservation is manifested, being especially clear for the generalization to the case of time rather than space separation corresponds to the polarization of dileptons described by time-like pion transition formfactors which may be studied experimentally. The similar decays in external magnetic field manifest the interplay with vacuum conductivity in external magnetic field and longitudinal polarization of vector mesons observed in heavy-ion collisions.