Einstein-Gauss-Bonnet引力域中Goldstone暴胀的研究
Study of Goldstone Inflation in the domain of Einstein-Gauss-Bonnet gravity
摘要：
实现由伪南武戈德斯通玻色子（pNGB）驱动的暴胀时代可以确保令人垂涎的平坦性，以及与范式动力学相关的次普朗克尺度。在这项工作中，我们已经采取了最一般的形式，这样的情况下：Goldstone暴胀提出的\cite{croon}，并研究了Einstein-Gauss-Bonnet引力模型。自然通货膨胀是该模型的一个极限情形，本文也进行了研究. EGB耦合的特定形式为研究与暴胀和再加热时期相关的丰富现象提供了充足的机会。暴胀观测量、张量标量比（$r$）和谱指数（$n_s$）的预测值与最近的$Planck'18$ \cite{Planck2018}观测值符合得很好。因此，在EGB的框架中，人们可以复活这个模型，否则它需要从\cite{Bhattacharya:2018xlw}中研究的正则域进行相当多的微调或转移，才能在标准的冷暴胀情景中生存。最后，研究了不同模型参数选择下的再加热时间。
英文摘要：
Realizing the inflationary epoch driven by a pseudo-Nambu Goldstone boson (pNGB) could ensure the coveted flatness, and the sub-Planckian scales related to the dynamics of the paradigm. In this work, we have taken the most general form of such a scenario: Goldstone inflation proposed in \cite{croon}, and studied the model in Einstein-Gauss-Bonnet gravity. Natural inflation is a limiting case of this model, is also studied here. The specific form of the EGB coupling gives ample opportunity to study the rich phenomenology associated with inflation as well as the reheating epoch. Predicted values of the inflationary observables, tensor to scalar ratio ($r$), and spectral index ($n_s$) are in good agreement with the recent observations from $Planck'18$ \cite{Planck2018}. Thus, in the framework of EGB one can resurrect the model, which otherwise needs quite a bit of fine tuning or diversion from the canonical domain as studied in \cite{Bhattacharya:2018xlw}, to survive in the standard cold inflationary scenario. Finally, the era of reheating is studied for different choice of model parameters.
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