False vacuum decay with gravity: Negative mode problem
False vacuum decay with gravity: Negative mode problem
复制标题
假真空随重力衰变：负模问题
DOI：
10.1016/0083-6656(93)90109-w
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
M. Sasaki
中科院分区：
文献类型：
--
作者：
Takahiro Tanaka;M. Sasaki
Lavrelashvili， Rubakov和Tinyakov （LRT）声称WKB近似即使在远低于普朗克的能量尺度下也会失效，在他们的工作的激励下，伪真空在重力存在下的衰变得到了仔细的研究。首先，我们从一个不同的角度来处理这个问题，即在适合于假真空衰变的边界条件下求解Wheeler-DeWitt方程。得到的波函数没有显示出WKB近似被破坏的迹象。然后，基于欧几里得路径积分的正则哈密顿形式，我们提出了一种方法来分析描述隧道过程的欧几里得反弹解周围的负模态数，并在一些极限情况下对其进行了评估。再一次，我们发现有力的证据表明LRT的说法是肤浅的。
Motivated by work of Lavrelashvili, Rubakov and Tinyakov (LRT), who claim that the WKB approximation would break down even at energy scale far below the Planck one, the decay of false vacuum under the presence of gravity is carefully investigated. First we approach the issue from a different point of view, namely, by solving the Wheeler-DeWitt equation under the boundary condition appropriate for the false vacuum decay. The resulting wave function shows no sign of the break-down of the WKB approximation. Then, based on the canonical Hamiltonian form of the Euclidean path integral, we develop a method to analyze the number of negative modes around the Euclidean bounce solution describing the tunneling process and evaluate it in some limiting cases. Again, we find a strong evidence that LRT's claim is superficial.