标题： $α$-吸引子的再加热动力学的微扰分析 显示英文标题

标题： Perturbative analysis of the reheating dynamics of $α$-attractors

摘要： 我们研究了在单场模型背景下暴胀之后的再加热阶段，重点研究了暴胀子向更轻粒子的微扰衰变。 提出了一种通用的分析框架，通过结合宇宙学观测与模型相关的参数来计算再加热温度$T_{re}$及相关量。 我们推导了三种类型相互作用的$T_{re}$表达式：引力、标量以及 Yukawa 型费米子耦合，并将这些结果应用于$\alpha$吸引子暴胀模型，这些模型在$(n_s, r)$平面中表现出吸引子行为。 这项工作的主要目标是研究诸如$T_{re}$、$N_{re}$和$m_\phi$等关键宇宙学量如何在一致的分析框架内随着标量谱指数$n_s$和 Yukawa 耦合常数$y$而演化。 尽管所使用的公式是近似的，但它们足以捕捉相关量在广泛参数值范围内的定性行为。 在这里，我们不关注精确的数值近似或数据分析，而是关注理解感兴趣宇宙学量的一般趋势和依赖关系。 特别是图中观察到的趋势，例如$T_{re}$对耦合强度和状态方程参数$\omega_{re}$的敏感性，反映了不受所涉及近似强烈影响的物理特征。 显示英文摘要

摘要： We study the reheating phase following inflation in the context of single-field models, focusing on the perturbative decay of the inflaton into lighter particles. A general analytical framework is presented to compute the reheating temperature $T_{re}$ and related quantities by combining cosmological observations with model-dependent parameters. We derive expressions for $T_{re}$ for three types of interactions: gravitational, scalar, and Yukawa-type fermionic couplings, and apply these results to the class of $\alpha$-attractor inflationary models, which exhibit attractor behavior in the $(n_s, r)$ plane. The main goal of this work is to investigate how key cosmological quantities such as $T_{re}$, $N_{re}$, and $m_\phi$ among others, evolve with the scalar spectral index $n_s$ and the Yukawa coupling constant $y$, within a consistent analytical framework. Although the formulas used are approximate, they are sufficient to capture the qualitative behavior of the relevant quantities across a wide range of parameter values. Here, we are not interested in precise numerical approximations or data analysis, but rather in understanding the general trends and dependence of cosmological quantities of interest. In particular, tendencies observed in the figures, such as the sensitivity of $T_{re}$ to the coupling strength and the equation-of-state parameter $\omega_{re}$, reflect physical features that are not strongly affected by the approximations involved.