论文标题
量子波动和新的Instantons I：线性无界电势
Quantum Fluctuations and New Instantons I: Linear Unbounded Potential
论文作者
论文摘要
在科尔曼建议的方法遇到困难的情况下，我们考虑了虚假真空的衰变。我们发现，在这些情况下，量子波动起着至关重要的作用。也就是说，它们自然会诱导由经典解决方案的参数决定的紫外线和红外截止量表，除了该解决方案不再被信任。这导致出现了一类新的$ O（4）$不变的Instantons，在没有紫外线截止的情况下，这将是单一的。我们将结果应用于以线性方式从下面无限制的情况，尤其是通过考虑不可避免的量子波动来解决小instantons的问题。
We consider the decay of a false vacuum in circumstances where the methods suggested by Coleman run into difficulties. We find that in these cases quantum fluctuations play a crucial role. Namely, they naturally induce both an ultraviolet and infrared cutoff scales, determined by the parameters of the classical solution, beyond which this solution cannot be trusted anymore. This leads to the appearance of a broad class of new $O(4)$ invariant instantons, which would have been singular in the absence of an ultraviolet cutoff. We apply our results to a case where the potential is unbounded from below in a linear way and in particular show how the problem of small instantons is resolved by taking into account the inevitable quantum fluctuations.
