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

Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation (IZMIRAN), 108840 Troitsk, Moscow, Russia

Physics Faculty, National Research Tomsk State University, 36 Lenin Avenue, 634050 Tomsk, Russia

E-mail Address: maxdvo@izmiran.ru

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https://doi.org/10.1142/S0217751X18501543Cited by:1 (Source: Crossref)

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.

Keywords:

PACS: 11.30.Rd, 12.15.Ji, 13.40.Em, 14.60.Cd

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