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We show that the evolution of magnetic fields in a primordial plasma, filled with standard model particles at temperatures T10 MeV, is strongly affected by the chiral anomaly---an effect previously neglected. Although reactions, equilibrating left and right electrons, are in thermal equilibrium for T80 TeV, a left-right asymmetry develops in the presence of strong magnetic fields. This results in magnetic helicity transfer from shorter to longer scales and lepton asymmetry present in the plasma until T10 MeV, which may strongly affect many processes in the early Universe.
Boyarsky et al. (Wed,) studied this question.