论文标题
量子场理论中的中微子振荡
Neutrino oscillations in Quantum Field Theory
论文作者
论文摘要
我们提出了一种量子场理论（QFT）方法，用于真空中中微子振荡。中微子的发射和检测是用单个二阶Feynman图的带电流的顶点鉴定出的，用于基础过程，并封闭了这两个点之间的中微子传播。我们方法的关键点是中微子振荡实验典型的时空设置的定义，这意味着宏观上较大但有限的源和检测器的有限体积，并以足够大的距离$ L $分隔。我们为带电的Lepton生产率提供了一个$ L $依赖的主公式，该公式为中微子振荡分析提供了QFT基础。我们的公式取决于基本过程，并且无法降低到常规方法中中微子振荡概率的概念，该方法源自非相关主义量子力学（QM）。我们证明，对于基础过程的某些特定选择，我们的QFT公式与某些假设下的常规公式相吻合。
We propose a Quantum Field Theory (QFT) approach to neutrino oscillations in vacuum. The neutrino emission and detection are identified with the charged-current vertices of a single second-order Feynman diagram for the underlying process, enclosing neutrino propagation between these two points. The key point of our approach is the definition of the space-time setup typical for neutrino oscillation experiments, implying macroscopically large but finite volumes of the source and detector separated by a sufficiently large distance $L$. We derive an $L$-dependent master formula for the charged lepton production rate, which provides the QFT basis for the analysis of neutrino oscillations. Our formula depends on the underlying process and is not reducible to the conventional approach resorting to the concept of neutrino oscillation probability, which originates from non-relativistic quantum mechanics (QM). We demonstrate that for some particular choice of the underlying process our QFT formula approximately coincides with the conventional one under some assumptions.
