Magnetogenesis from rotating scalar: `a la scalar chiral magnetic effect. (arXiv:1905.06966v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Kamada_K/0/1/0/all/0/1">Kohei Kamada</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Shin_C/0/1/0/all/0/1">Chang Sub Shin</a>

The chiral magnetic effect is a phenomenon that an electric current parallel
to the magnetic fields is induced in the presence of the chiral asymmetry in
the fermionic system. In this article we point out that the electric current
induced by the dynamics of a pseudo scalar field that anomalously couples to
electromagnetic fields can be interpreted as a similar effect in the scalar
system. Noting that the velocity of the pseudo scalar field, which is the phase
of a complex scalar, represents that the system carries a global U(1) number
asymmetry, we see that the induced current is proportional to the asymmetry and
parallel to the magnetic field, which is the same to the chiral magnetic
effect. We discuss that in a mechanism like the Affleck-Dine mechanism an
asymmetry carried by the Affleck-Dine field can induce the electric current and
give rise to the instability in the (electro)magnetic field if it is unbroken
by the expectation value of the Affleck-Dine field. Cosmological consequences
of this mechanism, which is similar to the chiral plasma instability, is
investigated.

The chiral magnetic effect is a phenomenon that an electric current parallel
to the magnetic fields is induced in the presence of the chiral asymmetry in
the fermionic system. In this article we point out that the electric current
induced by the dynamics of a pseudo scalar field that anomalously couples to
electromagnetic fields can be interpreted as a similar effect in the scalar
system. Noting that the velocity of the pseudo scalar field, which is the phase
of a complex scalar, represents that the system carries a global U(1) number
asymmetry, we see that the induced current is proportional to the asymmetry and
parallel to the magnetic field, which is the same to the chiral magnetic
effect. We discuss that in a mechanism like the Affleck-Dine mechanism an
asymmetry carried by the Affleck-Dine field can induce the electric current and
give rise to the instability in the (electro)magnetic field if it is unbroken
by the expectation value of the Affleck-Dine field. Cosmological consequences
of this mechanism, which is similar to the chiral plasma instability, is
investigated.

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