Impossibility of the strong magnetic fields generation in an electron-positron plasma
Abstract
We examine the issue whether a magnetic field can be amplified in a background matter consisting of electrons and positrons self-interacting within the Fermi model. For this purpose we compute the antisymmetric contribution to the photon polarization tensor in this matter having nonzero temperature and chemical potential. It is shown that this contribution is vanishing in the static limit. Then we study a particular case of a degenerate relativistic electron gas present in a magnetar. We demonstrate that a seed magnetic field is attenuated in this case. Thus, contrary to the recent claim, we show that there is no magnetic field instability in such a system, which can lead to the magnetic field growth. Therefore recently proposed mechanism cannot be used for the explanation of strong magnetic fields of magnetars.
Keywords
Cite
@article{arxiv.1405.3059,
title = {Impossibility of the strong magnetic fields generation in an electron-positron plasma},
author = {Maxim Dvornikov},
journal= {arXiv preprint arXiv:1405.3059},
year = {2016}
}
Comments
5 pages in Revtex4.1, 3 eps figures; title was changed, 1 new figure was added, discussion of the magnetic field evolution was included, 2 references were added, variant to be published in PRD as rapid communication