在景观中翻滚:高维模空间不稳定性的证据
Tumbling through a landscape: Evidence of instabilities in high-dimensional moduli spaces
摘要:
我们认为,一个通用的不稳定性折磨真空中出现的理论,其模空间具有大的维度。具体来说,通过研究多个标量场的理论,我们提供了数值证据,对于一般的局部最小值的潜在的通常的半经典气泡成核率,伽玛= A e^{-B},迅速增加的理论中的字段的数量的函数。因此,隧道速率低到足以维持亚稳态的真空部分似乎呈指数下降,作为模空间维度的函数。我们讨论了弦论景观的可能影响。值得注意的是,如果我们的结果证明适用于弦论,亚稳态真空的景观可能没有足够的多样性来提供暗能量的自然解释。
英文摘要:
We argue that a generic instability afflicts vacua that arise in theories whose moduli space has large dimension. Specifically, by studying theories with multiple scalar fields we provide numerical evidence that for a generic local minimum of the potential the usual semiclassical bubble nucleation rate, Gamma = A e^{-B}, increases rapidly as function of the number of fields in the theory. As a consequence, the fraction of vacua with tunneling rates low enough to maintain metastability appears to fall exponentially as a function of the moduli space dimension. We discuss possible implications for the landscape of string theory. Notably, if our results prove applicable to string theory, the landscape of metastable vacua may not contain sufficient diversity to offer a natural explanation of dark energy.
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