Title: Eternal Inflation and Swampland Conjectures Show Chinese title

Title: 永恒膨胀与沼泽地猜想

Abstract: We study if eternal inflation is realized while satisfying the recently proposed string Swampland criteria concerning the range of scalar field excursion, $|\Delta \phi| < \mathcal{D} \cdot M_{\rm P}$, and the potential gradient, $|\nabla V| > c \cdot V/M_{\rm P}$, where $\mathcal{D}$ and $c$ are constants of order unity, and $M_{\rm P}$ is the reduced Planck mass. We find that only the eternal inflation of chaotic type is possible for $c \sim {\cal O}(0.01)$ and $1/\mathcal{D} \sim {\cal O}(0.01)$, and that the Hubble parameter during the eternal inflation is parametrically close to the Planck scale, and is in the range of $2 \pi c \lesssim H_{\rm inf}/M_{\rm P} < 1/\sqrt{3}$. Show Chinese abstract

Abstract: 我们研究了在满足最近提出的关于标量场运动范围 $|\Delta \phi| < \mathcal{D} \cdot M_{\rm P}$ 和势能梯度 $|\nabla V| > c \cdot V/M_{\rm P}$ 的弦论 Swampland 标准的同时，永恒膨胀是否能够实现，其中 $\mathcal{D}$ 和 $c$ 是数量级为 1 的常数，$M_{\rm P}$ 是约化普朗克质量。 我们发现，对于$c \sim {\cal O}(0.01)$和$1/\mathcal{D} \sim {\cal O}(0.01)$，只有混沌型永恒膨胀是可能的，并且在永恒膨胀期间的哈勃参数在参数上接近普朗克尺度，并处于$2 \pi c \lesssim H_{\rm inf}/M_{\rm P} < 1/\sqrt{3}$的范围内。