Estimate of the primordial magnetic field helicity
Abstract
Electroweak baryogenesis proceeds via changes in the non-Abelian Chern-Simons number. It is argued that these changes generate a primordial magnetic field with left-handed helicity. The helicity density of the primordial magnetic field today is then estimated to be given by 102 nb where nb 10-6 /cm3 is the present cosmological baryon number density. With certain assumptions about the inverse cascade we find that the field strength at recombination is 10-13 G on a comoving coherence scale 0.1 pc.
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