Dynamical generation of the primordial magnetic field by ferromagnetic domain walls

The spontaneous generation of uniform magnetic condensate in QED3 gives rise to ferromagnetic domain walls at the electroweak phase transition. These ferromagnetic domain walls are characterized by vanishing effective surface energy density avoiding, thus, the domain wall problem. Moreover we find that the domain walls generate a magnetic field B≃1024 Gauss at the electroweak scale which account for the seed field in the so called dynamo mechanism for the cosmological primordial magnetic field. We find that the annihilation processes of walls with size R≃105 km could release an energy of order 1052 erg indicating the invisible ferromagnetic walls as possible compact sources of Gamma Ray Bursts.