重加热表面体积重整化与破缺标度不变性下的永恒暴胀
Reheating surface volume renormalization and eternal inflation under broken scale invariance
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中文总结 AI 辅助
本研究探讨标度不变性轻微破缺（$\varepsilon=n_s-1<0$）如何通过两种独立方法修改重加热表面体积重整化，进而缓和无永恒暴胀条件。
中文摘要 AI 辅助
近期，Cotler、Ivo 和 Maldacena 的研究表明，在标度不变性下，永恒暴胀被解释为由于标度维数定义不当而导致的重加热表面体积重整化失败。与此同时，观测表明标度不变性存在轻微破缺，这通过谱指数与1的偏差来参数化，即 $\varepsilon=n_s-1$。受此启发，我们研究标度不变性破缺效应如何修改无永恒暴胀条件，即重加热表面体积的可重整性。为此，我们采用两种独立方法：考察正规序重加热表面体积算符在曲率扰动平移下的行为，以及分析粗粒化结构以获取标度维数。两种方法共同揭示，只要 $\varepsilon$ 为负（这与观测一致），重加热表面体积的分形结构就会在宏观尺度上瓦解，从而缓和无永恒暴胀条件。
英文摘要
Recently, Cotler, Ivo, and Maldacena have shown that under scale invariance, eternal inflation is interpreted as a failure of the reheating surface volume renormalization due to an ill-defined scaling dimension. Meanwhile, observations suggest that scale invariance is slightly broken, which is parametrized by deviation of the spectral index from unity, $\varepsilon=n_s-1$. Motivated by this, we study how the scale invariance breaking effect modifies the no-eternal inflation condition as the renormalizability of the reheating surface volume. For this purpose, we adopt two independent approaches: investigating the behavior of the normal ordered reheating surface volume operator under a shift of the curvature perturbation, and analyzing the coarse-graining structure to obtain the scaling dimension. Both approaches commonly reveal that as long as $\varepsilon$ is negative, which is consistent with observations, the fractal structure of the reheating surface volume breaks down at macroscopic scale, moderating the no-eternal inflation condition.
发表机构
- Department of Physics Education, Korea National University of Education（韩国国立教育大学物理教育系）
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