标题： 克朗采维奇-塞加尔准则在无边界态中对暴胀的约束 显示英文标题

标题： The Kontsevich-Segal Criterion in the No-Boundary State Constrains Inflation

摘要： 我们证明，将 Kontsevich-Segal (KS) 准则应用于指定半经典无边界波函数的复数鞍点时，会在暴胀标量场势能中起到选择机制的作用。 通过以无边界起源完成慢滚暴胀的可观测阶段，KS 准则有效地将宇宙微波背景涨落的张量-标量比限制在 0.08 以下，这与当前观测结果一致。 我们将复数鞍点未能满足 KS 准则的原因归结为扰动谱中出现了一个快子。 显示英文摘要

摘要： We show that the Kontsevich-Segal (KS) criterion, applied to the complex saddles that specify the semiclassical no-boundary wave function, acts as a selection mechanism on inflationary scalar field potentials. Completing the observable phase of slow-roll inflation with a no-boundary origin, the KS criterion effectively bounds the tensor-to-scalar ratio of cosmic microwave background fluctuations to be less than 0.08, in line with current observations. We trace the failure of complex saddles to meet the KS criterion to the development of a tachyon in their spectrum of perturbations.