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Impossibility of the strong magnetic fields generation in an electron-positron plasma

Maxim Dvornikov
Phys. Rev. D 90, 041702(R) – Published 22 August 2014

Abstract

We examine the issue of 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, the recently proposed mechanism cannot be used for the explanation of strong magnetic fields of magnetars.

  • Figure
  • Figure
  • Received 13 May 2014

DOI:https://doi.org/10.1103/PhysRevD.90.041702

© 2014 American Physical Society

Authors & Affiliations

Maxim Dvornikov*

  • Institute of Physics, University of São Paulo, CP 66318, CEP 05315-970 São Paulo, SP, Brazil; Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation (IZMIRAN), 142190 Troitsk, Moscow, Russia; and Research School of Physics and Engineering, Australian National University, 2601 Canberra, Australian Capital Territory, Australia

  • *maxim.dvornikov@usp.br

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Issue

Vol. 90, Iss. 4 — 15 August 2014

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