We investigate in detail the spectrum of gravitational waves induced by a peaked primordial curvature power spectrum generated in single-field inflationary models. We argue that the f _NL parameter can be inferred by measuring the high frequency spectral tilt of the induced gravitational waves. We also show that the intrinsically non-Gaussian impact of f _NL in Ω_GW is to broaden its peak, although at a negligible level in order not to overproduce primordial black holes. We discuss possible degeneracies in the high frequency spectral tilt between f _NL and a general equation of state of the universe w. Finally, we discuss the constraints on the amplitude, peak and slope (or equivalently, f _NL) of the primordial power spectrum by combining current and future gravitational wave experiments with limits on μ distortions from the cosmic microwave background.

我们详细研究了由单场暴胀模型中产生的峰值原始曲率功率谱引起的引力波谱。我们认为，f _NL参数可以通过测量诱导引力波的高频光谱倾斜来推断。我们还表明， f _NL在 Ω _GW中的本质上非高斯影响是扩大其峰值，尽管为了不过度产生原始黑洞，其峰值可以忽略不计。我们讨论了f _NL和宇宙的一般状态方程w之间的高频频谱倾斜中可能的简并. 最后，我们通过将当前和未来的引力波实验与来自宇宙微波背景的 μ 畸变限制相结合，讨论了对原始功率谱的幅度、峰值和斜率（或等效地，f _{NL ）的约束。}