Critical constraint on inflationary magnetogenesis
arXiv:1402.0596 · doi:10.1088/1475-7516/2014/03/013
Abstract
Recently, there are several reports that the cosmic magnetic fields on Mpc scale in void region is larger than G with an uncertainty of a few orders from the current blazar observations. On the other hand, in inflationary magnetogenesis models, additional primordial curvature perturbations are inevitably produced from iso-curvature perturbations due to generated electromagnetic fields. We explore such induced curvature perturbations in a model independent way and obtained a severe upper bound for the energy scale of inflation from the observed cosmic magnetic fields and the observed amplitude of the curvature perturbation, as where is the strength of the magnetic field at present. Therefore, without a dedicated low energy inflation model or an additional amplification of magnetic fields after inflation, inflationary magnetogenesis on Mpc scale is generally incompatible with CMB observations.
16 pages, 1 figure, references added, a numerical error fixed. Accepted for publication in JCAP
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