Topological interaction of neutrino with photon in a magnetic field — Electroweak Hall effect

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.