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爱因斯坦-高斯-博内特五重暴胀:从超暴胀到涌现的暖暴胀

Einstein-Gauss-Bonnet quintessential inflation: From super-inflation to emergent warm inflation

Omar Chahboun, Rachid Ahl Laamara, El Hassan Saidi

arXiv 2610.01665首次发表:更新:

发表机构

Faculty of Sciences, Mohammed V University in Rabat(拉巴特穆罕默德五世大学理学院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文在爱因斯坦-高斯-博内特引力中提出统一暴胀与晚期宇宙学模型,通过三标量场实现从超暴胀到暖暴胀的转变,并解决冷暴胀中四次势的可行性问题,最终暴胀子作为暗能量。

AI 中文摘要

本工作提出了一种统一的暴胀与晚期宇宙学,在爱因斯坦-高斯-博内特引力框架下,耦合三个标量场,并由一个单一势函数和耦合函数在整个宇宙历史中支配。允许高斯-博内特耦合依赖于场的内容,而非任意指定,产生了双阶段暴胀情景:高阶曲率项最初驱动膨胀,后来变为次主导。初始超暴胀阶段在几何诱导的水瀑布场稳定化失效时动态结束,其场值由组合$(n-1)Q$决定。水瀑布凝聚体的相干振荡作为初始辐射源,取代了传统的再加热过程,并为后续暖暴胀阶段建立了必要的热浴。利用两阶段耗散机制,其中$\Gamma_\phi\propto T^3$,在保留高斯-博内特贡献的同时推导了标量和张量谱,表明暴胀子涨落的增长受到热浴剪切粘度的调控,这对模型可行性至关重要。一个四次势,在冷暴胀情景中先前被排除,现在变得可行,其中$n_s$在普朗克$1\sigma$带内,且$r$被抑制。与谱指数的一致性具有普遍性,而内部一致性将模型限制在$(n-1)Q$的窄带内。最后,在物质-辐射等量附近释放第三个标量,通过一种与跷跷板机制逻辑相反的机制,将非常小的质量尺度转化为非常大的耦合。在晚期,暴胀子持续作为暗能量存在。

英文摘要

This work presents a unified inflationary and late-time cosmology, developed within Einstein-Gauss-Bonnet gravity coupled to three scalar fields, governed by a single potential and coupling function throughout cosmic history. Permitting the Gauss-Bonnet coupling to depend on the field content, rather than assigning it arbitrarily, produces a two-phase inflationary scenario: the higher-curvature term initially drives expansion and later becomes a subdominant. The initial super-inflationary stage ends dynamically when the geometrically induced stabilization of the waterfall field fails, at a field value determined by the combination $(n-1)Q$. Coherent oscillations of the waterfall condensate serve as the initial radiation source, replacing conventional reheating and establishing the thermal bath necessary for the subsequent warm phase. Utilizing a two-stage dissipation mechanism with $Γ_ϕ\propto T^3$, the scalar and tensor spectra are derived while retaining Gauss-Bonnet contributions, demonstrating that the growth of inflaton fluctuations is regulated by the shear viscosity of the bath, which is essential for model viability. A quartic potential, previously excluded in the cold scenario, becomes viable, with $n_s$ within the Planck $1σ$ band and $r$ suppressed. Agreement with the spectral index is generic, while internal consistency confines the model to a narrow band in $(n-1)Q$. Finally, the release of the third scalar near matter-radiation equality transforms a very small mass scale into a very large coupling by a logic inverse to the seesaw mechanism. At late times, the inflaton persists as dark energy.

论文原文

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