Generation of large scale magnetic fields in single-field inflation

@article{Martin2007GenerationOL,
  title={Generation of large scale magnetic fields in single-field inflation},
  author={J{\'e}r{\^o}me Martin and Jun’ichi Yokoyama},
  journal={Journal of Cosmology and Astroparticle Physics},
  year={2007},
  volume={2008},
  pages={025}
}
We consider the generation of large scale magnetic fields in slow-roll inflation. The inflaton field is described in a supergravity framework where the conformal invariance of the electromagnetic field is generically and naturally broken. For each class of inflationary scenarios, we determine the functional dependence of the gauge coupling that is consistent with the observations on the magnetic field strength at various astrophysical scales and, at the same time, avoid a back-reaction problem… 
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