Model-independent constraints in inflationary magnetogenesis

Abstract

We derive a simple model-independent upper bound on the strength of magnetic fields obtained in inflationary and post-inflationary magnetogenesis taking into account the constraints imposed by the condition of weak coupling, back-reaction and Schwinger effect. This bound turns out to be rather low for cosmologically interesting spatial scales. Somewhat higher upper bound is obtained if one assumes that some unknown mechanism suppresses the Schwinger effect in the early universe. Incidentally, we correct our previous estimates for this case.

18 pages, 2 figures, improved version to appear in JCAP, references added; corrected errors made in arXiv:1902.05894 and arXiv:1911.10424

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• On the challenges in the choice of the non-conformal coupling function in inflationary magnetogenesis
• Gravitational wave trispectrum in the axion-SU(2) model
• Gradient expansion formalism for magnetogenesis in the kinetic coupling model
• On the Schwinger effect during axion inflation
• Chirality production during axion inflation
• Generation of an electromagnetic field nonminimally coupled to gravity during Higgs inflation
• Super-horizon resonant magnetogenesis during inflation
• Scalaron dark matter and the thermal history of the universe
• Fate of the first-order chiral phase transition in QCD: Implications for dark QCD studied via a Nambu-Jona-Lasinio model
• First-order CP phase transition in two-flavor QCD at $\theta =\pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description