If the QCD phase transition is first-order, then a thermoelectric mechanism will generate magnetic fields in the early universe. For reasonable transition parameters, we find that 5 G magnetic fields could form on scales of 1 m, when the temperature of the universe was around 150 MeV. These primordial fields, a consequence of the QCD phase transition, have a magnitude ~2 x 10^-17^ G at the time when galaxy formation begins.
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Quashnock et al. (1989) studied this question.