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Effective description of non-equilibrium currents in cold magnetized plasma

Iqbal, Nabil

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The dynamics of cold strongly magnetized plasma -- traditionally the domain of force-free electrodynamics -- has recently been reformulated in terms of symmetries and effective field theory, where the degrees of freedom are the momentum and magnetic flux carried by a fluid of cold strings. In physical applications where the electron mass can be neglected one might expect the presence of extra light charged modes -- electrons in the lowest Landau level -- propagating parallel to the magnetic field lines. We construct an effective description of such electric charges, describing their interaction with plasma degrees of freedom in terms of a new collective mode that can be thought of as a bosonization of the electric charge density along each field line. In this framework QED phenomena such as charged pair production and the axial anomaly are described at the classical level. Formally, our construction corresponds to gauging a particular part of the higher form symmetry associated with magnetic flux conservation. We study some simple applications of our effective theory, showing that the scattering of magnetosonic modes generically creates particles and that the rotating Michel monopole is now surrounded by a cloud of electric charge.


Iqbal, N. (2022). Effective description of non-equilibrium currents in cold magnetized plasma. SciPost Physics, 12(2), Article 078.

Journal Article Type Article
Acceptance Date Feb 4, 2022
Online Publication Date Feb 28, 2022
Publication Date 2022-02
Deposit Date Mar 1, 2022
Publicly Available Date Apr 22, 2022
Journal SciPost Physics.
Print ISSN 2542-4653
Publisher SciPost
Peer Reviewed Peer Reviewed
Volume 12
Issue 2
Article Number 078
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