Neutrino Oscillations: a source of Goldstone fields and consequences for Supernovae
Abstract
It is shown that true Nambu-Goldstone (NG) bosons develop coherent fields whenever the associated charges of the matter particles are not conserved in a macroscopic scale. The sources of the NG fields are the time rates of quantum number violation. If the lepton numbers are spontaneously broken at a scale below 1 TeV, the neutrino oscillation processes generate classic NG fields that are strong enough in Supernovae to modify the neutrino flavor dynamics. The oscillation patterns may change in the periods of largest fluxes. Two examples are given: 1. the back reaction of a NG field improves the adiabaticity of the e resonant conversion; 2. e μ oscillations may occur even if e is the lightest of the neutrinos.
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