Neutrino Oscillations: a source of Goldstone fields

Abstract

It is proved that true Goldstone bosons develop coherent fields whenever the associated charges of the matter particles are not conserved in a macroscopic scale. The sources of the Goldstone fields are the time rates of quantum number violation. The case of neutrino flavour oscillations is studied with application to Supernovae. It is shown that if the Lepton numbers break at the Fermi scale, the neutrino potentials and oscillation patterns change in the periods of largest neutrino fluxes. In this way, electron anti-neutrino to muon anti-neutrino oscillations may occur in the first instants of neutrino emission.