  We study the primordial magnetic field generated by stochastic currents
produced by scalar charged particles created at the beginning of the radiation
dominated epoch. We find that for the mass range 10^(-6)GeV \leq m \leq 10^2
GeV, a field of sufficient intensity to seed different mechanisms of galactic
magnetic field generation, while still consistent with observational and
theoretical constraints, is created coherently over a galactic scale.
