用Krylov-Fock不逃逸几率表示的假真空的平均寿命
Mean lifetime of a false vacuum in terms of the Krylov-Fock non-escape probability
摘要：
非衰变（或存活）概率的Krylov-Fock表达式允许评估与指数衰变定律（目前已通过实验建立）的偏差，因为它很容易提供寿命的分布函数作为随机量，所以信息量更大。在已建立的描述核α衰变的形式的指导下，我们用这个分布函数计算了寿命的平均值及其涨落率。这个理论框架是相当感兴趣的，因为它允许实验验证。接下来，我们将Krylov-Fock方法应用于有限温度下热场动力学框架下的亚稳态衰变。与现有的形式主义相比，这种方法显示了来自不同亚稳态的隧穿之间以及隧穿和势垒跳跃之间的干涉效应。在一致的量子力学描述框架下，这种效应看起来很自然，是“双缝实验”的一种表现。最后讨论了所得结果在场论中的应用。
英文摘要：
The Krylov-Fock expression of non-decay (or survival) probability, which allows to evaluate the deviations from the exponential decay law (nowadays well established experimentally), is more informative as it readily provides the distribution function for the lifetime as a random quantity. Guided by the well established formalism for describing nuclear alpha decay, we use this distribution function to figure out the mean value of lifetime and its fluctuation rate. This theoretical framework is of considerable interest inasmuch as it allows an experimental verification. Next, we apply the Krylov-Fock approach to the decay of a metastable state at a finite temperature in the framework of thermo-field dynamics. In contrast to the existing formalism, this approach shows the interference effect between the tunnelings from different metastable states as well as between the tunneling and the barrier hopping. This effect looks quite natural in the framework of consistent quantum mechanical description as a manifestation of the "double-slit experiment". In the end we discuss the field theory applications of the results obtained.
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