标题： 经典Nambu-Goldstone场 显示英文标题

标题： Classical Nambu-Goldstone fields

摘要： 显示当与该玻色子相关的电荷在宏观尺度上不守恒时，真正的Nambu-Goldstone(NG)玻色子会发展出相干的长程场。 NG场的来源是量子数破坏的时间速率。 如果轻子数在低于1 TeV的尺度上自发破缺，中微子振荡过程会产生足够强的长程majoron场，在超新星中可以改变中微子味的动力学。 给出两个例子：NG场可能改善$\nu_{e}\leftrightarrow \nu_{X}$跃迁的绝热性，或导致仅靠弱相互作用无法实现的共振反中微子振荡。 显示英文摘要

摘要： 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 $\nu_{e}\leftrightarrow \nu_{X}$ transitions or cause resonant anti-neutrino oscillations otherwise impossible with solely weak interactions.