具有全局与局部有效性的中微子框架中1-2交换对称性的比较研究
Comparative study of the 1-2 exchange symmetries in neutrino frameworks with global and local validities
AI总结：
本文比较研究了局部有效的太阳共振微扰理论与全局有效的DMP微扰理论中的1-2交换对称性，验证了二者几乎完全同一，从而支持“一个共振——一个对称性”的新图景。
摘要：
最近提出了一幅“一个共振——一个对称性”的新图景，用以揭示物质中微子振荡中重参数化对称性的本质及其所在位置：i↔j态交换型对称性存在于某个共振附近，其中i和j是参与能级交叉的态。与此一致，在局部有效框架中，1-2和1-3态交换对称性分别被认定存在于太阳共振和大气共振附近。另一方面，Denton等人（DMP）的微扰理论是一个全局有效框架，它具有1-2交换对称性，该对称性类似于前述太阳共振微扰（SRP）理论中的对称性。在我们的图景中，对称性必须与共振相关联，而不是与框架相关联；如果确实如此，那么这两种1-2对称性必须彼此相同。我们对SRP和DMP所具有的1-2对称性进行了比较研究，以确认它们的同一性。结果验证了它们几乎完全同一，但其实现方式高度非平凡。
英文摘要：
A new picture ``one-resonance - one-symmetry'' has been proposed recently to reveal nature of the reparametrization symmetry in neutrino oscillation in matter and where it resides: Symmetry of $i \leftrightarrow j$ state-exchange type exists at around a resonance with $i$ and $j$ being the states which participate in the level crossing. Consistently, the 1-2 and 1-3 state exchange symmetries are identified at around the solar and atmospheric resonances, respectively, in the locally-valid frameworks. On the other hand, the Denton {\it et al.} (DMP) perturbation theory, a globally-valid framework, has the 1-2 exchange symmetry which is akin to the one in the aforementioned solar-resonance perturbation (SRP) theory. In our picture, the symmetry must be associated with the resonance, not the framework, and if so these two 1-2 symmetries must be identical to each other. We conduct a comparative study of the 1-2 symmetries possessed by SRP and DMP to confirm their identity. An almost identity is verified, but in a highly nontrivial way.
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