Non-Abelian bootstrap of primordial magnetism

Abstract

We point out that a primordial magnetic field can be generated in the electroweak phase transition by a non-Abelian bootstrap, where the field is generated by currents of W's, which in turn are extracted from the vacuum by the magnetic field. This magnetic field is produced as a vortex condensate at the electroweak phase transition. It becomes stringy as a consequence of the dynamical evolution due to magnetohydrodynamics.

Comments: 6 pages. Magnetic energy formula for the flat expanding universe added. Misprint corrected. Some clarifying remarks on energy minimization added