非奇异反弹中的RRR涨落
RRR fluctuations from non-singular bounce
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中文总结 AI 辅助
本文在含收缩、非奇异反弹及慢滚到超慢滚转变的暴胀框架中，一致处理正则化、重正化和重求和，计算功率谱量子修正，产生太阳质量原初黑洞并规避不可行定理，且满足因果性和幺正性约束。
中文摘要 AI 辅助
我们提出了一种在包含收缩阶段、非奇异反弹以及从慢滚到超慢滚急剧转变的暴胀框架中，对正则化、重正化和重求和进行一致处理的方法，从而能够产生原初黑洞。在有效场论方法下，我们计算了所有阶段功率谱的量子圈修正。二次紫外发散通过重正化去除，而对数红外发散则通过重求和得到软化，展示了方案无关性。收缩和反弹的引入使得能够产生太阳质量的原初黑洞，$M_{\rm PBH}\sim{\cal O}(M_\odot)$，且所需暴胀总时长最少，$\Delta N_{\rm Total}\sim{\cal O}(60)$，从而规避了不可行定理。对于$0.88\le c_s\le1$，峰值谱幅度处于$10^{-3}\le A\le10^{-2}$范围内，保持了因果性和幺正性。跨越$10^{-33}\\!-\\!10^{-27}$和$10^{-6}\\!-\\!10^{-1}M_\odot$的原初黑洞丰度与微透镜约束进行了对比，以控制原初黑洞的过度产生。
英文摘要
We present a consistent treatment of regularization, renormalization, and resummation in a framework involving a contracting phase, a non-singular bounce, and inflation with a sharp transition from slow-roll to ultra-slow-roll, enabling primordial black hole production. Within an effective field theory approach, we compute quantum loop corrections to the power spectrum across all phases. Quadratic UV divergences are removed through renormalization, while logarithmic IR divergences are softened via resummation, demonstrating scheme independence. The inclusion of contraction and bounce allows the generation of solar-mass PBHs, $M_{\rm PBH}\sim{\cal O}(M_\odot)$, with minimal inflation $ΔN_{\rm Total}\sim{\cal O}(60)$, thereby evading the no-go theorem. For $0.88\le c_s\le1$, the peak spectrum amplitude lies within $10^{-3}\le A\le10^{-2}$, preserving causality and unitarity. PBH abundances across $10^{-33}\!-\!10^{-27}$ and $10^{-6}\!-\!10^{-1}M_\odot$ are confronted with microlensing constraints to control PBH overproduction.
发表机构
- SGT University（SGT大学）
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