关于暴胀的平静激发态的一个注记
A Note on Calm Excited States of Inflation
摘要：
我们确定了一个双参数家庭的激发态在慢卷膨胀的两点函数或激发态的特征签名的修正-即增强的平坦动量配置-是缺席的。然而，这些激发态可能最大程度地违反绝热性条件。我们把这些暴胀的初始状态称为平静激发态。我们表明，这两个集不相交，即，可以从它们的双谱中区分那些保持功率谱不变的信号，反之亦然。对于慢卷暴胀，保持两点函数不变的相同的一组平静的激发态，对于DBI暴胀也做同样的任务。然而，在三点函数水平上，平静的激发态在慢卷暴胀中没有平坦的组态特征，这将导致DBI暴胀的普遍增强，尽管其特征比先前的分析所建议的要小。该示例还说明了施加朗斯基条件对于获得非高斯签名的正确估计是重要的。
英文摘要：
We identify a two-parameter family of excited states within slow-roll inflation for which either the corrections to the two-point function or the characteristic signatures of excited states in the three-point function -- i.e. the enhancement for the flattened momenta configurations-- are absent. These excited states may nonetheless violate the adiabaticity condition maximally. We dub these initial states of inflation calm excited states. We show that these two sets do not intersect, i.e., those that leave the power-spectrum invariant can be distinguished from their bispectra, and vice versa. The same set of calm excited states that leave the two-point function invariant for slow-roll inflation, do the same task for DBI inflation. However, at the level of three-point function, the calm excited states whose flattened configuration signature is absent for slow-roll inflation, will lead to an enhancement for DBI inflation generally, although the signature is smaller than what suggested by earlier analysis. This example also illustrates that imposing the Wronskian condition is important for obtaining a correct estimate of the non-Gaussian signatures.
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