论文标题

从重新加热中限制$α$ afttractor型号

Constraining $α$-attractor models from reheating

论文作者

German, Gabriel

论文摘要

我们消除了最初存在于$α$ a-aftractor类型的通货膨胀模型中的参数,以支持标量频谱索引$ n_s $和张量与标准比率$ r $。然后,我们为重新加热$ n_ {re} $的$ e $ folds编写表达式。通过对$ n_ {re} $施加合理的条件,我们可以限制$ n_s $和$ r $,然后,我们依次使用这些约束来寻找宇宙学量的范围,例如通货膨胀和辐射占主导地位的ERAS的$ e $ folds数量,以及用于重新启动的温度和运行的Index。 $ n_ {re} $必须满足的最低条件是$ n_ {re} \ geq 0 $,我们用来约束上述宇宙学数量。特别是,我们发现张量比比率$ r $(因此,通货膨胀的能源尺度)从下面有限。我们提供的数字说明了这些数量的行为作为$ r $的函数,对于$ n_s $的几个值和包含如此获得的界限的表。

We eliminate the parameters originally present in models of inflation of the $α$-attractor type in favor of the scalar spectral index $n_s$ and the tensor-to-scalar ratio $r$. We then write expressions for the number of $e$-folds during reheating $ N_ {re} $. By imposing reasonable conditions on $N_{re}$ we can restrict $n_s$ and $r$ and in turn, we use these constraints in order to find bounds for cosmological quantities of interest such as the number of $e$-folds during inflation and the radiation dominated eras, as well as for the reheating temperature and the running index. The minimum condition that $N_ {re}$ must satisfy is $N_ {re}\geq 0$ which we use to constrain the cosmological quantities mentioned above. In particular, we find that the tensor-to-scalar ratio $r$ (and as a consequence the energy scale of inflation) is bounded from below. We provide figures illustrating the behavior of these quantities as functions of $r$ for several values of $n_s$ and tables containing the bounds so obtained.

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