Magneto-reheating constraints from curvature perturbations

Abstract

As additional perturbative degrees of freedom, it is known that magnetic fields of inflationary origin can source curvature perturbations on super-Hubble scales. By requiring the magnetic generated curvature to remain smaller than its inflationary adiabatic counterpart during inflation and reheating, we derive new constraints on the maximal field value today, the reheating energy scale and its equation of state parameter. These bounds end up being stronger by a few order of magnitude than those associated with a possible backreaction of the magnetic field onto the background. Our results are readily applicable to any slow-roll single field inflationary models and any magnetic field having its energy density scaling as a^gamma during inflation. As an illustrative example, massive inflation is found to remain compatible with a magnetic field today Bo = 5 x 10^(-15) G for some values of gamma only if a matter dominated reheating takes place at energies larger than 10^5 GeV. Conversely, assuming gamma=-1, massive inflation followed by a matter dominated reheating cannot explain large scale magnetic fields larger than 10^(-20) G today.

16 pages, 4 figures, uses jcappub

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• Primordial Magnetic Fields from the Post-Inflationary Universe
• Compatibility of Planck and BICEP2 in the Light of Inflation
• Critical constraint on inflationary magnetogenesis
• What can the CMB tell about the microphysics of cosmic reheating?
• Cosmic Inflation at the Crossroads
• Shortcomings of New Parametrizations of Inflation
• First observational constraints on tensor non-Gaussianity sourced by primordial magnetic fields from cosmic microwave background
• Polarization bispectrum for measuring primordial magnetic fields
• Fast Bayesian inference for slow-roll inflation
• Scalar perturbations from inflation in the presence of gauge fields
• Primordial perturbations from dilaton-induced gauge fields
• Narrowing the window of inflationary magnetogenesis
• Clocking the End of Cosmic Inflation
• D-Flation
• Inflationary Magnetogenesis in $R^2$-Inflation after Planck 2015
• Primordial Gravitational Waves and Reheating in a New Class of Plateau-like Inflationary Potentials
• Primordial magnetic fields in the $f^{2}FF$ model in large field inflation under de Sitter and power law expansion
• The Primordial Magnetic Field (PMF) Generated in Large Field Inflation (LFI), Natural Inflation (NI) and $R^2$-Inflation by $f^{2}FF$ Model