Equilibrium electric current of massive electrons with anomalous magnetic moments induced by a magnetic field and the electroweak interaction with matter

TL;DR

This paper investigates whether massive electrons with anomalous magnetic moments, interacting with matter and magnetic fields, can produce an equilibrium electric current, concluding that such a current vanishes in equilibrium conditions.

Contribution

It provides an exact solution-based analysis showing that equilibrium electric currents do not exist for massive electrons with anomalous magnetic moments under these conditions.

Findings

Equilibrium electric current vanishes for massive electrons with anomalous magnetic moments.

Exact solutions of the Dirac equation are used to derive the current expression.

Comparison with recent literature highlights the null current result.

Abstract

We study the possibility of the existence of the electric current, formed by massive electrons and positrons, flowing along an external magnetic field. The charged fermions are supposed to have nonzero anomalous magnetic moments and electroweakly interact with background matter. The expression for the current is obtained on the basis of the exact solution of the Dirac equation in the corresponding external fields. We demonstrate that, in the state of equilibrium, such a current is vanishing for any characteristics of the electron-positron plasma as well as the external fields. Our results are compared with the recent findings of other authors.