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纳尔逊-巴尔暴胀

Nelson-Barr Inflation

Fuminobu Takahashi

arXiv 2608.00498首次发表:更新:

AI 中文总结

该研究将纳尔逊-巴尔标量用于驱动山顶暴胀,通过线性形变消除畴壁问题,实现了兼具强CP问题解决、暴胀及重子生成等功能的统一宇宙学框架。

AI 中文摘要

纳尔逊-巴尔机制通过自发CP破缺解决强CP问题,但由此产生的CP共轭真空通常会形成稳定的畴壁。我们提出,纳尔逊-巴尔标量本身驱动山顶暴胀,其虚分量的CP对称双势阱形成两个CP破缺谷,暴胀沿其中一个谷进行。由于最低的CP不变脊通常远高于暴胀后的可用能量,两个分支之间的跃迁在能量上无法实现,暴胀后畴壁无法再生。微小的CP守恒线性形变可提高四次山顶暴胀的标量谱指数,产生符合CMB的参数区域。纳尔逊-巴尔部分必然提供通向可见区再加热的通道,当与右手中微子耦合时,还可将自发CP相位传递到轻子区;在允许更高CP破缺能标的扩展中,甚至可实现非热轻子生成。这确立了纳尔逊-巴尔机制的统一宇宙学实现,其中相同的CP破缺动力学既解决强CP问题,又可产生夸克和轻子CP破缺、驱动暴胀与再加热、实现重子生成,同时消除相关的畴壁问题。

英文摘要

The Nelson-Barr mechanism solves the strong CP problem through spontaneous CP violation, but the resulting CP-conjugate vacua generically lead to stable domain walls. We propose that the Nelson-Barr scalar itself drives hilltop inflation. A CP-symmetric double-well potential for its imaginary component forms two CP-breaking valleys, with inflation proceeding along one of them. Since the lowest CP-invariant ridge is generically much higher than the energy available after inflation, transitions between the two branches are energetically inaccessible, and the domain walls cannot be regenerated after inflation. A small CP-preserving linear deformation raises the scalar spectral index of quartic hilltop inflation and yields CMB-compatible parameter regions. The Nelson-Barr sector necessarily provides a portal to visible-sector reheating. When coupled to right-handed neutrinos, it can also transmit the spontaneous CP phase to the lepton sector and, in an extension that allows a higher CP-breaking scale, even realize nonthermal leptogenesis. This establishes a unified cosmological realization of the Nelson--Barr mechanism in which the same CP-breaking dynamics solves the strong CP problem, can generate quark and lepton CP violation, drives inflation and reheating, and enables baryogenesis, while simultaneously eliminating the associated domain-wall problem.

Comments12 pages, 1 figure

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