标题： 基于ACT的非最小耦合 显示英文标题

标题： Non-minimal coupling in light of ACT

摘要： 最新的ACT数据发布不支持吸引子$n_s=1-2/N$。 在具有非最小耦合的 inflation 模型中，此类吸引子通常出现在强耦合极限下。 为了与观测约束相一致，我们将重点放在具有小耦合常数的非最小耦合模型上。 对于具有耦合函数$\Omega(\phi) = 1 + \xi f(\phi)$和势能$V(\phi) = \lambda^2 f^2(\phi)$的模型，我们发现观测数据限制参数为$0.1 \lesssim \xi \lesssim 35$和$0 \lesssim k \lesssim 1.5$，在$f(\phi) = \phi^k$置信水平下为$1\sigma$。 借助非最小耦合项$\Omega(\phi) = 1 + \xi \phi^2$，山顶暴胀和幂律暴胀模型分别具有幂指数$2/3$和$1/3$时，可以在$1\sigma$范围内与观测数据一致。 我们还给出了这三个模型的可行参数区域$\xi$。 显示英文摘要

摘要： The latest ACT data release disfavors the attractor $n_s=1-2/N$. In inflationary models with nonminimal coupling, such attractors typically arise in the strong coupling limit. To align with observational constraints, we focus on nonminimal coupling models with small coupling constants. For the model with the coupling function $\Omega(\phi) = 1 + \xi f(\phi)$ and the potential $V(\phi) = \lambda^2 f^2(\phi)$, we find that observational data constrain the parameters as $0.1 \lesssim \xi \lesssim 35$ and $0 \lesssim k \lesssim 1.5$ for $f(\phi) = \phi^k$ at the $1\sigma$ confidence level. With the help of the nonmiminal coupling $\Omega(\phi) = 1 + \xi \phi^2$, the hilltop inflation and power-law inflation models with power indices $2/3$ and $1/3$ can be consistent with observational data within the $1\sigma$ range. We also give the viable parameter regions for $\xi$ for these three models.