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arXiv 2206.09892hep-ph
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修正的单场自然暴胀模型的再加热约束

Reheating constraints on modified single-field Natural Inflation models

Hua Zhou, Qing Yu, Yu Pan, Ruiyu Zhou, Wei Cheng

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14 pages
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摘要：

本文详细讨论了三种改进的单场自然暴胀模型，包括特殊广义自然暴胀模型（SNI）、扩展自然暴胀模型（ENI）和自然暴胀启发模型（NII）。我们推导了这些模型的张量标量比$r$和谱指数$n_s$的解析表达式。然后，再加热温度$T_{re}$和再加热持续时间$N_{re}$的解析推导。此外，考虑到CMB约束，SNI模型在$(n_s, r)$平面上的可行空间几乎被NII模型的可行空间所覆盖，这意味着NII模型比SNI模型更具有一般性.此外，ENI与其他两个模型在$(n_s, r)$平面上没有重叠空间，这表明ENI与其他两个模型相互排斥，更精确的实验可以验证。此外，再加热给暴胀模型带来了更严格的约束，但它们仍然适用于不同的再加热宇宙。考虑到$n_s$、$r$、$N_k$的约束条件，并选择电弱能标附近的$T_{re}$，可以发现三个模型的衰变常数没有重叠区域，有效的状态方程$ω_{re}$应该在三个模型的$\frac{1}{4}\lesssim ω_{re} \lesssim \frac{4}{5}$范围内。

英文摘要：

In this paper, we discuss three modified single-field natural inflation models in detail, including Special generalized Natural Inflation model(SNI), Extended Natural Inflation model(ENI) and Natural Inflation inspired model(NII). We derive the analytical expression of the tensor-to-scalar ratio $r$ and the spectral index $n_s$ for those models. Then the reheating temperature $T_{re}$ and reheating duration $N_{re}$ are analytically derived. Moreover, considering the CMB constraints, the feasible space of the SNI model in $(n_s, r)$ plane is almost covered by that of the NII, which means the NII is more general than the SNI. In addition, there is no overlapping space between the ENI and the other two models in $(n_s, r)$ plane, which indicates that the ENI and the other two models exclude each other, and more accurate experiments can verify them. Furthermore, the reheating brings tighter constraints to the inflation models, but they still work for a different reheating universe. Considering the constraints of $n_s$, $r$, $N_k$ and choosing $T_{re}$ near the electroweak energy scale, one can find that the decay constants of the three models have no overlapping area and the effective equations of state $ω_{re}$ should be within $\frac{1}{4}\lesssim ω_{re} \lesssim \frac{4}{5}$ for the three models.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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