反de Sitter和无边界调节器中快子顶部附近的瞬子
Instantons near a tachyonic top in anti de Sitter and the no-boundary regulator
摘要：
我们调查附近的快子顶部的反德西特（AdS）的背景下的瞬子。如果山顶周围的质量尺度高于Breitenlohner-Freedman（BF）界，则山顶是经典稳定的。当满足BF界时，我们已经知道可能存在非零概率的瞬子，尽管需要对势进行微调。另一方面，我们可以考虑一种可能性，以获得具有非零概率的瞬子，以获得更自然的势形状。我们发现，无边界调节器是有用的分配一个非零概率的一般瞬子附近的快子顶部与一致的框架。为了使用无边界调节器，我们需要引入场的复化。一个有趣的特点是，对于这些AdS瞬子，经典性可能不满足后的芯旋转，因此后的核。这放大了dS和AdS之间的一个新的区别; AdS中的半经典边界观测者可能会注意到量子场的色散是一种不确定性，而dS中的每个半经典观测者都是单独经典化的，因此没有半经典观测者可以看到标量场的量子色散。
英文摘要：
We investigate instantons near a tachyonic top in an anti de Sitter (AdS) background. If the mass scale around the hill-top is above the Breitenlohner-Freedman (BF) bound, then the top is classically stable. When the BF bound is satisfied, it is already known that there can exist instantons with a non-zero probability, though fine-tunings of the potential are required. On the other hand, we may consider a possibility to obtain instantons with a non-zero probability for more natural shape of potentials. We found that the no-boundary regulator is useful to assign a non-zero probability for general instantons near the tachyonic top with a consistent framework. To use the no-boundary regulator, we need to introduce the complexification of fields. One interesting feature is that, for these AdS instantons, the classicality may not be satisfied after the Wick rotation and hence after the nucleation. This magnifies a novel difference between dS and AdS; a semi-classical boundary observer in AdS may notice the dispersion of quantum fields as a kind of uncertainty, while every semi-classical observers in dS are classicalized individually and hence there is no semi-classical observer who can see the quantum dispersion of the scalar field.
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