AI 中文总结
该研究在二阶宇宙微扰理论中重新分析大规模白噪声（LSWN）效应，证实曲率密度变量Δρ会产生LSWN，但否定其为二阶共动曲率扰动R₂的红外极点，指出相关文献的结论无效。
AI 中文摘要
在二阶宇宙微扰理论框架下，我们重新审视了文献[2511.13866]和[2511.15803]中提出的大规模白噪声（LSWN）效应。我们证明曲率密度变量Δρ确实在二阶时产生LSWN，但与[2511.15803]的结论相反，这并非二阶共动曲率扰动R₂中的红外（IR）极点。该表观增强是使用线性泊松方程关联两个真实二阶量的人为结果。进一步我们证明R₂受保护不会产生此类红外增强：limₖ→₀(k²R₂)=0，这源于软极限下的守恒律。因此[2511.15803]提出的约束及其对小尺度原初功率谱的推论是无效的。
英文摘要
Working to second order in cosmological perturbation theory, we reconsider the Large Scale White Noise (LSWN) effect proposed in [2511.13866] and [2511.15803]. We demonstrate that the kurvature density variable $Δρ$ does indeed develop LSWN at second order. However, contrary to the claims of [2511.15803], we show that this is not inherited as an infrared (IR) pole in the second-order comoving curvature perturbation $R_2$. This apparent enhancement was an artifact of using a linear Poisson equation to relate two genuinely second order quantities. Further, we show that $R_2$ is protected from developing any such IR enhancement: $\lim_{k \rightarrow 0} \left( k^2 R_2 \right) = 0$, which follows from a conservation law in the soft limit. The constraint proposed in [2511.15803] and its implications for the small-scale primordial power spectrum are therefore invalid.
Comments25 pages, 1 figure
