Classical Nambu-Goldstone fields

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It is shown that a true Nambu-Goldstone (NG) boson develops a coherent long-range field whenever the charge associated with it that is carried by the other particles is not conserved in a macroscopic scale. The source of a NG field is the time rate of quantum number violation. If the lepton numbers are spontaneously broken at a scale below 1 TeV, the neutrino oscillation processes generate long-range majoron fields that are strong enough in Supernovae to modify the neutrino flavor dynamics. Two examples are given: NG fields may improve the adiabaticity of νₑ↔ νₓ transitions or cause resonant anti-neutrino oscillations otherwise impossible with solely weak interactions.