论文标题
量子波动和新的Instantons II：四分之一的无界电势
Quantum Fluctuations and New Instantons II: Quartic Unbounded Potential
论文作者
论文摘要
在潜力的情况下，我们研究了一个虚假真空的命运，其中包含一部分是四分之一且无限的部分。我们首先证明，在这种情况下，$ O（4）$不变的Instanton与Coleman边界条件不存在。但是，这并不意味着虚假的真空不会腐烂。我们展示了量子波动如何使奇异的经典解正规化。这引起了新的$ o（4）$不变的正规化Instantons的新类，这些instantons描述了在Coleman Instanton缺席的情况下真空不稳定。我们得出相应的溶液并计算它们诱导的衰减速率。
We study the fate of a false vacuum in the case of a potential that contains a portion which is quartic and unbounded. We first prove that an $O(4)$ invariant instanton with the Coleman boundary conditions does not exist in this case. This, however, does not imply that the false vacuum does not decay. We show how the quantum fluctuations may regularize the singular classical solutions. This gives rise to a new class of $O(4)$ invariant regularized instantons which describe the vacuum instability in the absence of the Coleman instanton. We derive the corresponding solutions and calculate the decay rate they induce.
