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arXiv 2009.08082hep-phhep-th
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中微子振荡的路径积分

Path integral of neutrino oscillations

Kazuo Fujikawa

摘要:

提出了带电轻子与虚W玻色子散射的约束Feynman振幅的概念,即$l_β + W_ρ \rightarrow l_α + W_λ$.由此,利用平面波很容易得到相对论中微子的Pontecorvo振荡公式.在路径积分图中,中微子在产生顶点和检测顶点之间沿时间向前传播,这两个顶点分别被约束在由宏观正时间$τ$分隔的三维类空超曲面上。如果对$τ$的所有可能值(包括负的$τ$)求和,则形式上恢复协变费曼振幅。

英文摘要:

We propose an idea of the constrained Feynman amplitude for the scattering of the charged lepton and the virtual W-boson, $l_β + W_ρ \rightarrow l_α + W_λ$, from which the conventional Pontecorvo oscillation formula of relativistic neutrinos is readily obtained using plane waves for all the particles involved. In a path integral picture, the neutrino propagates forward in time between the production and detection vertices, which are constrained respectively on the 3-dimensional spacelike hypersurfaces separated by a macroscopic positive time $τ$. The covariant Feynman amplitude is formally recovered if one sums over all possible values of $τ$ (including negative $τ$).

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。

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