Abstract
The simplest gauge invariant models of inflationary magnetogenesis are known
to suffer from the problems of either large back reaction or strong coupling,
which make it difficult to self-consistently achieve cosmic magnetic fields
from inflation with a field strength larger than \$10^-32\$ Gauss today on the
\$\Mpc\$ scale. Such a strength is insufficient to act as seeds for the galactic
dynamo effect, which requires a magnetic field larger than \$10^-20\$ Gauss. In
this paper we propose a new simple model, which avoids both the strong coupling
and the back reaction problems, and can lead to cosmic magnetic fields from
inflation as large as about \$10^-16\$ Gauss today on the \$\Mpc\$ scale, thus
improving the previous result by 16 orders of magnitude. In the scenario
presented here, the coupling function which breaks the conformal invariance of
electromagnetism is non-monotonic with sharp features avoiding previous back
reaction and strong coupling constraints.
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