  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.
