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Coleman--De Luccia隧穿中快速负模的起源与命运

The Origin and Fate of Rapid Negative Modes in Coleman--De Luccia Tunneling

Yutaka Ookouchi

arXiv 2609.37092首次发表:更新:

发表机构

Faculty of Arts and Science, Kyushu University(九州大学文理学院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文揭示Coleman--De Luccia隧穿中快速振荡负模塔源于单一引力共形扇区,而非多个不稳定性,并在共同规范与调节器下抵消,仅剩单个负模,为计算前因子扫清障碍。

AI 中文摘要

Coleman--De Luccia隧穿可能表现出无限塔状的快速振荡负模,这使路径积分的半经典评估复杂化。我们证明,该塔并不代表无限多个特定于反弹的不稳定性,而是与一个单一的底层引力共形扇区相关。该扇区通过两种不同方式显现:气泡壁附近的大标量梯度,以及紧致欧几里得几何的转折点。相应的共形扇区已经存在于关于假真空的涨落中。在相同的良好定义规范下,并使用共同的调节器处理反弹和假真空,我们发现它们的高频负谱相互趋近。因此,紫外塔从相对负模计数中抵消,留下单个特定于反弹的负模。这清除了系统计算Coleman--De Luccia前因子道路上的一个主要概念障碍。

英文摘要

Coleman--De Luccia tunneling can exhibit an infinite tower of rapidly oscillating negative modes, complicating the semiclassical evaluation of the path integral. We show that this tower does not represent infinitely many bounce-specific instabilities, but instead is tied to a single underlying gravitational conformal sector. This sector is exposed in two different ways: by a large scalar gradient near the bubble wall and by the turning point of a compact Euclidean geometry. The corresponding conformal sector is already present in fluctuations about the false vacuum. Treating the bounce and the false vacuum in the same well-defined gauge and with a common regulator, we find that their high-frequency negative spectra approach one another. The ultraviolet tower therefore cancels from the relative negative-mode count, leaving a single bounce-specific negative mode. This finite-backreaction spectral cancellation provides a corresponding picture of the result obtained in the small-backreaction limit.

Comments14 pages, 5 figures, v2: Sec I, IV, and VI substantially revised; discussion improved

论文原文

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