Viable inflationary magnetogenesis with helical coupling

Abstract

We consider helical coupling to electromagnetism and present a simple scenario of evolution of the coupling function leading to a viable inflationary magnetogenesis without the problem of back-reaction. In this scenario, helical magnetic fields of strength of order up to $10^{-7}\text{G}$, when extrapolated to the current epoch, can be generated in a narrow spectral band centered at any reasonable wavenumber by adjusting the model parameters. We discuss implications of this model for baryogenesis, which impose additional constraints on the strength and correlation length of magnetic field.

19 pages, new references added, notation slightly changed, matches the JCAP version

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• The Gamma-Ray Window to Intergalactic Magnetism
• Implications of Gravitational-wave Production from Dark Photon Resonance to Pulsar-timing Observations and Effective Number of Relativistic Species
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• Imprints of primordial magnetic fields on intrinsic alignments of galaxies
• Chirality production during axion inflation
• Generation of an electromagnetic field nonminimally coupled to gravity during Higgs inflation