论文标题

重新审视四分之一的山顶通货膨胀

Quartic hilltop inflation revisited

论文作者

German, Gabriel

论文摘要

我们实施了一个程序,通过该程序,消除了四分之一山顶通货膨胀(QHI)中存在的参数,而有利于标量光谱指数$ n_s $和张量表与标准比率$ r $ $ r $。通过这样做,可以直接而简单的方式获得先前分析的方程,在该方程中,对QHI进行了大磁场限制的分析处理。此过程还允许对模型的一般属性进行更精确的讨论。同样,使用重新加热时期的约束,可以找到模型参数的边界,以及诸如标量指数的运行,加热温度和通货膨胀量表等兴趣量。由于发现的界限来自仅以$ n_s $和$ r $表示的表达式,因此随着可观察到的$ n_s $和$ r $的测量结果,它们将继续缩小。

We implement a procedure by which the parameters present in the potential of Quartic Hilltop Inflation (QHI) are eliminated in favor of the scalar spectral index $n_s$ and the tensor-to-scalar ratio $r$. By doing this it is posible to obtain in a straightforward and simple way the equations of a previous analysis where an analytical treatment of QHI in the large field limit is given. This procedure also allows a more precise discussion of general properties of the model. Also, using a constraint from the reheating epoch it is possible to find bounds for the parameters of the model as well as for quantities of interest such as the running of the scalar index, the reheating temperature and the inflationary scale. Since the bounds found come from expressions given exclusively in terms of $n_s$ and $r$ they will continue to narrow as the measurements of the observables $n_s$ and $r$ become more sensitive.

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