Absolute Lower Bound on the Bounce Action
Absolute Lower Bound on the Bounce Action
复制标题
弹跳动作的绝对下限
DOI：
10.1103/physrevlett.120.091802
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发表时间：
2018
影响因子：
8.6
通讯作者：
Takimoto Masahiro
中科院分区：
文献类型：
--
作者：
Sato Ryosuke;Takimoto Masahiro
假真空的衰减率由隧穿场的最小作用解决定：反弹。在这封信中，我们专注于模型的标量场，有一个典型的动力学项indimensional欧氏空间，并推导出一个绝对下界的反弹行动。在四维空间中，我们证明了反弹作用一般大于，此时假真空为零。我们在没有明确求解运动方程的情况下，推导出反弹作用的这个界限。我们的界限是由一个相当简单的讨论，它提供了有用的信息，即使很难获得明确的形式的反弹解决方案。我们的界提供了一个假真空稳定的充分条件，它是有用的，作为一个快速检查的真空稳定性给定的模型。我们的界可以应用到一个广泛的一类标量势与任何数量的标量场。我们还讨论了一个必要条件的反弹行动采取的值接近这个下限。
The decay rate of a false vacuum is determined by the minimal action solution of the tunneling field:bounce. In this Letter, we focus on models with scalar fields which have a canonical kinetic term indimensional Euclidean space, and derive an absolute lower bound on the bounce action. In the case of four-dimensional space, we show the bounce action is generically larger than, wherewith the false vacuum being atand. We derive this bound on the bounce action without solving the equation of motion explicitly. Our bound is derived by a quite simple discussion, and it provides useful information even if it is difficult to obtain the explicit form of the bounce solution. Our bound offers a sufficient condition for the stability of a false vacuum, and it is useful as a quick check on the vacuum stability for given models. Our bound can be applied to a broad class of scalar potential with any number of scalar fields. We also discuss a necessary condition for the bounce action taking a value close to this lower bound.