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Mean lifetime of a false vacuum in terms of the Krylov-Fock nonescape probability

机译:在Krylov-Fock NoneScape概率方面的均值寿命为假真空

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The Krylov-Fock expression of nondecay (or survival) probability, which allows one 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 the 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 a 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.
机译:Nondecay(或生存)概率的Krylov-Fock表达,它允许人们评估来自指数衰减法的偏差(如今正在实验地建立得很好),因为它很容易向寿命提供作为随机量的分布函数。由建立的形式主义引导,用于描述核alpha腐烂,我们使用该分布功能来弄清楚寿命的平均值及其波动率。这种理论框架具有相当大的兴趣,因为它允许实验验证。接下来,在热场动态框架中,我们将Krylov-Fock方法应用于亚稳态的衰减状态。与现有的形式主义相比,这种方法显示了来自不同亚稳态状态的隧道之间的干扰效应以及隧道和屏障跳跃。在一致的量子力学描述的框架中,这种效果看起来非常自然,作为“双缝实验”的表现形式。最后,我们讨论了所获得的结果的现场理论应用。

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