Topological interaction of neutrino with photon in the magnetic field -- Electroweak Hall effect

TL;DR

This paper derives an effective interaction between neutrinos and photons in magnetized plasma within the electroweak model, revealing a topological Chern-Simons form with coupling depending on electron density and magnetic field strength.

Contribution

It introduces a novel effective interaction Lagrangian for neutrino-photon coupling in strong magnetic fields, expressed through a topological Chern-Simons term.

Findings

Interaction strength proportional to electron density over magnetic field ($n_e/B$)

Interaction described by a Chern-Simons form

Derived from strong field expansion in the electroweak model

Abstract

The effective interaction of a neutrino with a photon in magnetized plasma is obtained from a strong field expansion in the electroweak standard model. The interaction is expressed by a Chern-Simons form of the neutrino current and the electromagnetic vector potential of the coupling strength proportional to $\frac{n_e}{B} \times e G_F$. The derivation of the interaction Lagrangian and its properties are presented.