Ricardo J. Z. Ferreira, Rajeev Kumar Jain, Martin S. Sloth
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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http://arxiv.org/abs/1305.7151
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