About the possibility of vacuum self magnetization

We study the possibility of self-magnetization of vacuum for charged and neutral vector bosons bearing a magnetic moment. For charged vector bosons (W bosons) a divergence of the vacuum magnetization occurs for the critical field B = Bwc = m2w/e, suggesting the occurrence of a phase transition at B Bc, where the field is self-consistently maintained. This mechanism actually prevents B from reaching the critical value Bc. For virtual neutral vector bosons bearing an anomalous magnetic moment, the ground state have a similar behavior for B = Bnbc = m2nb/q . This model is applied to virtual electron-positron pairs bosonization in a strong magnetic field. This would lead also to vacuum self-magnetization in QED. (Author)