Abstract
We study the primordial magnetic field (PMF) generated by the simple inflationary model f2FF in the context of R2-inflationary model, the favourite model of Planck 2015 results. The scale invariant PMF is achieved and the backreaction problem is avoided as long as, the rate of inflationary expansion, H, is less than the upper bound reported by Planck, 2015, in the observable scales of wave numbers, kη. Based on these results, we find that the upper limit of present magnetic field, B0 < 8.1 × 10−9G . It is in the same order of the one reported by Planck, 2015.
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