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arXiv 2204.02425hep-thastro-ph.COgr-qc
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混合宇宙吸引子

Hybrid cosmological attractors

Renata Kallosh, Andrei Linde

摘要:

我们构造了混合通货膨胀模型的$α$ -吸引子版本。在这些模型中,暴胀子场$φ$的势被第二场$χ$的势提升。当$φ$变得小于某个临界值$φ_{c}$时,这种上升会由于相对于场$χ$的快子不稳定性而结束。在大的$N$极限下,这些模型具有标准的通用$α$ -吸引子预测。特别是,指数吸引子的$n_{s }= 1- {2 \over N}$。然而,在某些特殊情况下,对于$N \gtrsim 60$,仅在地平线之外达到大的$N$极限。这可能会改变对宇宙学观测的预测。对于任何固定的$N$,在大的隆起极限$V_{\rm up}$,或在大的$φ_{c}$极限,我们发现另一个吸引子预测,$ n_s = 1$。通过改变参数$V_{\rm up}$和$φ_{c}$,可以在两个吸引子预测$n_{s }= 1- {2 \over N}$和$n_{s} = 1$之间连续插值。这提供了显著的灵活性,鉴于宇宙学数据的数量和精度迅速增长,这是非常受欢迎的。我们的主要结果并不特定于混合通货膨胀模型。相反,它对于任何暴胀模型都是通用的,在这些模型中,由于某些原因,暴胀势能被提升,暴胀过早结束。

英文摘要:

We construct $α$-attractor versions of hybrid inflation models. In these models, the potential of the inflaton field $φ$ is uplifted by the potential of the second field $χ$. This uplifting ends due to a tachyonic instability with respect to the field $χ$, which appears when $φ$ becomes smaller than some critical value $φ_{c}$. In the large $N$ limit, these models have the standard universal $α$-attractor predictions. In particular, $n_{s }= 1- {2 \over N}$ for the exponential attractors. However, in some special cases the large $N$ limit is reached only beyond the horizon, for $N \gtrsim 60$. This may change predictions for the cosmological observations. For any fixed $N$, in the limit of large uplift $V_{\rm up}$, or in the limit of large $φ_{c}$, we find another attractor prediction, $ n_s = 1$. By changing the parameters $V_{\rm up}$ and $φ_{c}$ one can continuously interpolate between the two attractor predictions $n_{s }= 1- {2 \over N}$ and $n_{s} = 1$. This provides significant flexibility, which can be very welcome in view of the rapidly growing amount and precision of the cosmological data. Our main result is not specific to the hybrid inflation models. Rather, it is generic to any inflationary models where the inflaton potential, for some reasons, is uplifted, and inflation ends prematurely.

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