弦启发的Chern-Simons引力中由原初引力波诱发的凝聚体驱动的暴胀
Condensate-Induced Inflation from Primordial Gravitational Waves in String-Inspired Chern-Simons Gravity
AI总结：
本研究基于弦启发的Chern-Simons引力模型，利用动力系统方法首次详细考察了从刚性轴子物质时代向运行真空模型暴胀的过渡，发现原初引力波诱发的CS引力反常项凝聚体会产生线性轴子单值势从而驱动暴胀，并验证了先前研究的定性结论。
摘要：
在本研究中，我们进一步阐述了一个暴胀宇宙学模型，该模型刻画了受弦理论启发的Chern-Simons（CS）引力模型。已知此类模型属于所谓的弦启发运行真空宇宙学（String-Inspired Running Vacuum Cosmologies）类别。具体而言，通过应用标量场宇宙学中常用的动力系统方法，我们首次详细考察了从由该模型特征决定的、由刚性轴子物质状态方程主导的前暴胀时代，向运行真空模型（RVM）类型暴胀的过渡。通过对刚性轴子物质时代末期由原初引力波群体诱发的CS引力反常项凝聚体的形成进行仔细讨论，我们表明会出现一个有效的线性轴子单值势。这最终导致了从物质时代到RVM暴胀的转变。通过考虑在弱引力子量子化的相关文献中先前被忽略的项，我们证明这些项的作用是将凝聚体的值减小一半，但仍保持在同一数量级。这进而意味着先前关于该主题的研究的定性结论仍然有效。此外，在假设引力CS凝聚体近似独立于宇宙时间的情况下，我们还对原初引力波源的数量进行了估计，前提是必须遵守跨普朗克猜想。
英文摘要：
In this work, we elaborate further on a cosmological model of inflation that characterises Chern-Simons (CS) gravity models inspired from string theory. Such models are known to belong to the class of the so-called String-Inspired Running Vacuum Cosmologies. In particular, by applying methods of dynamical systems, commonly used in scalar-field cosmology, we examine in detail, for the first time, the passage from a pre-inflationary era dominated by a stiff-axion-matter equation of state, characteristic of the model, to inflation of Running Vacuum Model (RVM) type. By a careful discussion of the formation of the condensate of the CS gravitational anomaly term, induced by populations of primordial gravitational waves at the end of the stiff-axion-matter era, we show that an effectively linear axion-monodromy potential arises. This eventually causes the transition from the matter to the RVM inflation. By taking into account terms that have previously been ignored in the relevant literature of weak-graviton quantisation, we show that the effect of such terms is to diminish the value of the condensate by half, remaining however in the same order of magnitude. This, in turn, implies that the qualitative conclusions of previous works on the subject remain valid. Moreover, on assuming the approximate cosmic-time independence of the gravitational-CS condensate, we also provide an estimate of the number of sources of the primordial gravitational waves, upon the requirement of respecting the transplanckian conjecture.
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