论文标题

中微子振荡的路径积分

Path integral of neutrino oscillations

论文作者

Fujikawa, Kazuo

论文摘要

我们提出了一个构想,即对带电的Lepton和Virtual W-Boson的散射,$L_β +W_ρ\ rightArrowl_α +W_λ$的散射,使用所有涉及所有涉及的平面波的相对性中微子的传统pontecorvo振动符。在路径积分的图像中,中微子在生产和检测顶点之间的时间向前传播,它们分别在3维间距类型的超丘面上被限制在宏观正面的正面时间$τ$上。如果一个人总和$τ$的所有可能值(包括负$τ$),则将正式回收协变量的Feynman振幅。

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 $τ$).

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