论文标题
对修改的单场自然通胀模型的重新加热限制
Reheating constraints on modified single-field Natural Inflation models
论文作者
论文摘要
在本文中，我们详细讨论了三个修改的单场自然通胀模型，包括特殊的广义自然通货膨胀模型（SNI），扩展的自然通货膨胀模型（ENI）和自然通货膨胀启发的模型（NII）。我们为这些型号提供了张量与尺度比率$ r $ $ r $和频谱索引$ n_s $的分析表达式。然后，分析得出了加热温度$ t_ {re} $和重新加热持续时间$ n_ {re} $。此外，考虑到CMB约束，NII几乎涵盖了SNI模型的可行空间，这意味着NII比SNI更一般。此外，ENI和其他两个模型之间没有$（N_S，R）$平面之间的重叠空间，这表明ENI和其他两个模型相互排除，更准确的实验可以验证它们。此外，加热对通货膨胀模型带来了更严格的限制，但它们仍然适用于不同的重新加热宇宙。考虑到$ n_s $，$ r $，$ n_k $的限制，然后选择$ t_ {re} $附近的electroweak能量量表，人们可以发现，这三个模型的衰减常数没有重叠面积和状态$ω__{re} $的有效方程在$ \ frac {1} {1} {1} {1} {1} {4im} {4im} {4im} {4im} {4im} {4im} {4im} {4im} {4im} {4im} \ frac {4} {5} $用于三种型号。
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.
