arXiv 2212.136352022-12hep-phhep-exhep-thnucl-th

量子场论中的中微子振荡

Neutrino oscillations in Quantum Field Theory

Sergey Kovalenko, Fedor Simkovic

备注：: 6 pages, 1 figure

摘要：

提出了一种研究真空中中微子振荡的量子场论方法。中微子的发射和检测被确定为一个单一的二阶费曼图的基本过程的带电电流的顶点，包围这两个点之间的中微子传播。我们的方法的关键点是典型的中微子振荡实验的时空设置的定义，这意味着宏观上大，但有限的体积的源和检测器分开足够大的距离$L$。我们导出了一个依赖于$L$的带电轻子产生率的主公式，为分析中微子振荡提供了QFT基础。我们的公式依赖于潜在的过程，并且不能简化为传统的诉诸于中微子振荡概率的概念的方法，这起源于非相对论性量子力学（QM）。我们证明，对于一些特定的选择的基础过程，我们的QFT公式近似符合传统的在某些假设下。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文