  The magnetic fields we observe in galaxies today may have their origins in
the very early universe. While a number of mechanisms have been proposed which
lead to an appreciable field amplitude at early times, the subsequent evolution
of the field is of crucial importance, especially whether the correlation
length of the field can grow as large as the size of a protogalaxy. This talk
is a report on work in progress, in which we consider the fate of one specific
primordial field scenario, driven by pseudoscalar effects near the electroweak
phase transition. We argue that such a scenario has a number of attractive
features, although it is still uncertain whether a field of appropriate size
can survive until late times.
