论文标题
单场通货膨胀的非高斯参数空间上的扰动区域
Perturbative region on non-Gaussian parameter space in single-field inflation
论文作者
论文摘要
我们将单循环校正计算到由立方自身交流产生的单场通货膨胀中曲率扰动的两点函数。结合了观察到的曲率扰动的红倾斜光谱，相关的一环校正具有有限的值，并且与光谱倾斜成反比。要求一环校正要比树级贡献小得多，导致对原始非高斯的上限。虽然在观察允许的非高斯参数空间的区域被认为完全由该区域包括在内，其中一环校正小于树级的贡献，但明显的大区域的一环校正大于1％甚至10％的后者。如果将来的观察结果得出结论，非高斯属性属于这样一个区域，那么将高阶校正纳入光谱以实现精确的宇宙学将很重要。在某些极端情况下，如果单层校正与树级的贡献具有可比性，则可能表明在单场通货膨胀的背景下，宇宙学的扰动理论分解。
We calculate one-loop correction to the two-point functions of curvature perturbation in single-field inflation generated by cubic self-interaction. Incorporating the observed red-tilted spectrum of curvature perturbation, the relevant one-loop correction takes a finite value and inversely proportional to the spectral tilt. Requiring one-loop correction to be much smaller than the tree-level contribution leads to an upper bound on primordial non-Gaussianity. While observationally allowed region of non-Gaussian parameter space is found to be entirely included by the region, where one-loop correction is smaller than the tree-level contribution, an appreciably large region has one-loop correction larger than 1% or even 10% of the latter. If future observations conclude non-Gaussianity falls in such a region, then it would be important to incorporate higher-order corrections to the spectrum in order to achieve precise cosmology. In some extreme cases, where one-loop correction has a comparable magnitude to the tree-level contribution, it might indicate breakdown of the cosmological perturbation theory in the context of single-field inflation.
