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

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. * maxdvo@izmiran.ru

Reconnection of magnetic fields in neutron stars driven by the electron mass term in the triangle anomaly

“…Recently, the effect of a nonzero mass on the generation of an electric current along the magnetic field, i.e. the chiral magnetic effect (the CME), was analyzed in our works [5,6].…”

“…where α em = e 2 /4π ≈ 1/137 is the fine structure constant. The effective mean spin of the electron gas S eff = S + S 5 can be derived on the basis of equations (3), (6), and (7) as…”