A nonzero primordial vorticity seeds a hypermagnetic field from zero in the symmetric phase; the chiral magnetic effect then amplifies it and converts lepton into baryon asymmetry.
Property of the spectrum of large-scale magnetic fields from inflation
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abstract
The property of the spectrum of large-scale magnetic fields generated due to the breaking of the conformal invariance of the Maxwell theory through some mechanism in inflationary cosmology is studied. It is shown that the spectrum of the generated magnetic fields should not be perfectly scale-invariant but be slightly red so that the amplitude of large-scale magnetic fields can be stronger than $\sim 10^{-12}$G at the present time. This analysis is performed by assuming the absence of amplification due to the late-time action of some dynamo (or similar) mechanism.
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Contribution of the chiral vortical effect to the evolution of the hypermagnetic field and the matter-antimatter asymmetry in the early Universe
A nonzero primordial vorticity seeds a hypermagnetic field from zero in the symmetric phase; the chiral magnetic effect then amplifies it and converts lepton into baryon asymmetry.