TL;DR
The paper discusses how Nambu-Goldstone bosons develop long-range fields when associated charges are not conserved, impacting neutrino behavior in supernovae and potentially altering flavor oscillations.
Contribution
It demonstrates that non-conservation of quantum numbers leads to coherent NG fields, with implications for neutrino physics in astrophysical environments.
Findings
Long-range majoron fields can influence supernova neutrino dynamics.
NG fields can enhance adiabaticity of neutrino flavor transitions.
Resonant anti-neutrino oscillations may occur due to NG fields.
Abstract
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 transitions or cause resonant anti-neutrino oscillations otherwise impossible with solely weak interactions.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · History and Theory of Mathematics · Geometric Analysis and Curvature Flows