Classical Nambu-Goldstone fields

Abstract

It is shown that a Nambu-Goldstone (NG) field may be coherently produced by a large number of particles in spite of the fact that the NG bosons do not couple to flavor conserving scalar densities like $\bar{\psi }\psi$. If a flavor oscillation process takes place the phases of the pseudo-scalar or flavor violating densities of different particles do not necessarily cancel each other. The NG boson gets a macroscopic source whenever the total (spontaneously broken) quantum number carried by the source particles suffers a net increase or decrease in time. If the lepton numbers are spontaneously broken such classical NG (majoron) fields may significantly change the neutrino oscillation processes in stars pushing the observational capabilities of neutrino-majoron couplings down to $m_{\nu }/300$ GeV.

11 pages, updated, to appear in PRD

References in corpus (3)

• A Cosmological Three Level Neutrino Laser
• Neutrino Oscillations: a source of Goldstone fields
• Supernova neutrino oscillations: Adiabaticity improvement by Majoron fields

Cited by in corpus (4)

• Neutron-antineutron Oscillation and Baryonic Majoron: Low Scale Spontaneous Baryon Violation
• Blocking Active-Sterile Neutrino Oscillations in the Early Universe with a Majoron Field
• Gauged B-L Number and Neutron--Antineutron Oscillation: Long-range Forces Mediated by Baryophotons
• Neutrino helicity asymmetries in leptogenesis