arXiv 2301.100002023-01astro-ph.COgr-qchep-phhep-th

单场暴胀中形成大质量原初黑洞的不可行性

No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation

Sayantan Choudhury, Mayukh R. Gangopadhyay, M. Sami

备注：: 46 pages, 4 figures, Substantially revised version, Reference added and all the typos corrected, Comments are welcome, Revised version accepted for publication in European Physical Journal C
发表信息：: Eur. Phys. J. C 84 (2024) 884
DOI：: 10.1140/epjc/s10052-024-13218-2

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AI总结：

本文通过单圈重整化证明单场暴胀中由慢滚到超慢滚过渡产生的原初黑洞质量被限制在约100克且寿命极短，从而构成大质量原初黑洞形成的不可行定理。

摘要：

我们研究了单场暴胀模型中形成原初黑洞（PBHs）的可能性。利用短程模式中的绝热或波函数重整化方案，我们证明了对功率谱的单圈修正不存在二次紫外发散。我们考虑了一个框架，在该框架中，原初黑洞在从慢滚（SR）阶段过渡到超慢滚（USR）阶段并随后结束暴胀的过程中产生。我们证明，重整化后的功率谱减弱了对数红外发散的贡献，并严重限制了在上述过渡过程中产生的原初黑洞的可能质量范围，即 $M_{\rm PBH}\sim 10^{2}{\rm gm}$，这类似于一条不可行定理。特别是，我们发现所产生的原初黑洞寿命极短（$t^{\rm evap}_{\rm PBH}\sim 10^{-20}{\rm sec}$），并且超慢滚区域中相应的暴胀折叠数被限制为 $ΔN_{\rm USR}\approx 2$。

英文摘要：

We examine the possibility of Primordial Black Holes (PBHs) formation in single-field models of inflation. Using the adiabatic or wave function renormalization scheme in the short-range modes, we show that one-loop correction to the power spectrum is free from quadratic UV divergence. We consider a framework in which PBHs are produced during the transition from Slow Roll (SR) to Ultra Slow Roll (USR) followed by the end of inflation. We demonstrate that the renormalized power spectrum softens the contribution of the logarithmic IR divergence and severely restricts the possible mass range of produced PBHs in the said transition, namely, $M_{\rm PBH}\sim 10^{2}{\rm gm}$ ala a no-go theorem. In particular, we find that the produced PBHs are short-lived ($t^{\rm evap}_{\rm PBH}\sim 10^{-20}{\rm sec}$) and the corresponding number of e-folds in the USR region is restricted to $ΔN_{\rm USR}\approx 2$.

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