Symmetry breaking induced by pairwise conversion of neutrinos in compact sources

A surprising consequence of non-linear flavor evolution is the spontaneous breaking initial symmetries neutrino gas propagating in a dense astrophysical environment. We explore conversion physics by taking into account polar and azimuthal angular distributions neutrinos present very first example symmetry context fast mixing nonlinear regime. Intriguingly, we find that does not always develop proximity regions with vanishing electron lepton number, as commonly assumed, large can rapidly spread through all modes. Such behavior cannot be predicted from linear regime evolution. These results have major consequences on compact objects.