标题： 谱中USR暴胀的归一化一环修正 显示英文标题

标题： Renormalized one-Loop Corrections in Power Spectrum in USR Inflation

摘要： 单场暴胀模型中包含中间USP阶段的长宇宙微波背景尺度模式的一环修正的性质仍在争论中。 在本工作中，我们研究了曲率扰动功率谱的一环修正的正则化和重整化。 采用紫外-红外正则化并进行in-in分析，我们计算了与三次和四次哈密顿量相关的功率谱中的正则化一环修正，包括雨滴项。 我们表明，功率谱中完全正则化和重整化的分数环修正由USP阶段结束时功率谱的峰值控制，其标度如$ e^{6 \Delta {\cal N}}$，其中$\Delta {\cal N} $是USP阶段的持续时间。 这证实了最初的结论，即如果从中间USP阶段到最终SR阶段的转变是瞬时且尖锐的，环修正可能会失去微扰控制。 显示英文摘要

摘要： The nature of one-loop corrections on long CMB scale modes in models of single field inflation incorporating an intermediate USR phase is under debate. In this work, we investigate the regularization and renormalization of the one-loop corrections of curvature perturbation power spectrum. Employing the UV-IR regularizations and performing the in-in analysis, we calculate the regularized one-loop corrections, including tadpole, in the power spectrum associated with cubic and quartic Hamiltonians. We show that the fully regularized and renormalized fractional loop correction in the power spectrum is controlled by the peak of the power spectrum at the end of USR phase, scaling like $ e^{6 \Delta {\cal N}}$ in which $\Delta {\cal N} $ is the duration of the USR phase. This confirms the original conclusion that the loop corrections can get out of perturbative control if the transition from the intermediate USR phase to the final SR phase is instantaneous and sharp.