论文标题

通过变暖来挽救幂律通货膨胀

Salvaging Power-Law Inflation through Warming

论文作者

Alhallak, M., Chamoun, N., Eldaher, M. S.

论文摘要

在温暖的通货膨胀的背景下,研究了用比例因子$ a \ propto t^m $通货膨胀的通货膨胀。该处理是在弱耗散限制中进行的。此外,我们讨论了热耗散系数$γ(t)$的三个常见情况。我们比较了温暖通货膨胀率在温暖通货膨胀率中的理论结果与Planck $ 2018 $和BICEP/KECK 2018的观察限制,这是张量与标准比率$ r $ $ r $和频谱指数$ n_s $所示的。模型结果在很大程度上与大多数$γ(t)$案例的观察结果一致。 此外,为了解决退出通货膨胀时期的问题,我们建议对幂律定义进行扰动的修改,以使其变得偏爱,并发现这种小的变化表明了一种具有合适电子折叠数量的出口场景的方法。最后,我们在冷通货膨胀具有指数潜力的背景下检查了这种扰动ANSATZ,我们发现它可以以足够的电子折叠来适应观察数据。 我们的研究表明,在温暖和寒冷的通货膨胀环境中,幂律通货膨胀和指数潜力原则上都可以与观察结果以及可能的优雅出口保持一致。

Power-Law inflation with scale factor $a \propto t^m$ is investigated in the context of warm inflation. The treatment is performed in the weak and strong dissipation limits. In addition, we discuss the three common cases for the thermal dissipation coefficient $Γ(T)$. We compare the theoretical results of the Power-Law model within warm inflation with the observational constraints from Planck $2018$ and BICEP/Keck 2018, as presented by the tensor-to-scalar ratio $r$ and spectral index $n_s$. The model results agree largely with the observations for most of the $Γ(T)$ cases. Furthermore, in order to address the problem of exiting the inflationary epoch, we suggest a perturbed modification to the power-law definition so that it becomes affine, and find that this small change indicates a way for having an exit scenario with a suitable e-foldings number. Finally, we examine this perturbation ansatz within the context of cold inflation with exponential potential, and we find that it can accommodate the observational data with sufficient e-foldings. Our study suggests that the power-law inflation and the exponential potential, in both warm and cold inflation contexts, can in principle be made consistent with the observations and with a possible graceful exit.

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