AI 中文总结
该研究在量子场论框架下，解决味中微子传播子的QFT基本原理违背问题，通过质量混合微扰构造有效传播子，重新推导真空及介质中中微子振荡的量子跃迁概率。
AI 中文摘要
我们分析了构造味中微子传播子的可能性，味中微子是具有不确定质量的粒子。这类传播子此前在基于量子场论（QFT）的框架下研究中微子味振荡时曾被使用。从QFT的算符形式和路径积分形式出发，我们发现，直接推导味中微子传播子会违背QFT的基本原理。不过，我们仍可通过将质量混合项视为微扰来构造味中微子的有效传播子，这种情况下，有效传播子源于类戴森方程的解。我们利用推导得到的有效传播子，在QFT框架下重新得到了真空中中微子振荡的量子力学跃迁概率，同时也考虑了所得结果在介质背景中微子振荡中的应用。
英文摘要
We analyze the possibility to construct propagators of flavor neutrinos, which are particles with indefinite masses. This kind of propagators was used previously while studying neutrino flavor oscillations in frames of the quantum field theory (QFT) based approach. Starting with the operator and the path integral formulations of the QFT, we obtain that the naive derivation of propagators for flavor neutrinos violates the basic principles of the QFT. Nevertheless, we can still construct the effective propagator of flavor neutrinos considering the mass mixing term as a perturbation. In this situation, the effective propagator arises from the solution of a Dyson-like equation. We use the derived effective propagator to rederive the quantum mechanical transition probability for neutrino oscillations in vacuum in frames of the QFT. The application of the obtained results to neutrino oscillations in background matter is also considered.
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