Constraints on Primordial Magnetic Fields from Inflation

Abstract

We present generic bounds on magnetic fields produced from cosmic inflation. By investigating field bounds on the vector potential, we constrain both the quantum mechanical production of magnetic fields and their classical growth in a model independent way. For classical growth, we show that only if the reheating temperature is as low as T_{reh} <~ 10^2 MeV can magnetic fields of 10^{-15} G be produced on Mpc scales in the present universe. For purely quantum mechanical scenarios, even stronger constraints are derived. Our bounds on classical and quantum mechanical scenarios apply to generic theories of inflationary magnetogenesis with a two-derivative time kinetic term for the vector potential. In both cases, the magnetic field strength is limited by the gravitational back-reaction of the electric fields that are produced simultaneously. As an example of quantum mechanical scenarios, we construct vector field theories whose time diffeomorphisms are spontaneously broken, and explore magnetic field generation in theories with a variable speed of light. Transitions of quantum vector field fluctuations into classical fluctuations are also analyzed in the examples.

26 pages, v2: published in JCAP

References in corpus (12)

• The Standard Model Higgs boson as the inflaton
• The Effective Field Theory of Inflation
• Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
• Magnetic fields from inflation?
• N-flationary magnetic fields
• Adding helicity to inflationary magnetogenesis
• Schwinger Effect in 4D de Sitter Space and Constraints on Magnetogenesis in the Early Universe
• A model with cosmological Bell inequalities
• The Matter Bounce Alternative to Inflationary Cosmology
• Universal upper limit on inflation energy scale from cosmic magnetic field
• A scenario for inflationary magnetogenesis without strong coupling problem
• Inflationary dynamics of kinetically-coupled gauge fields

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