论文标题
Horndeski Genesis:经典理论的一致性
Horndeski genesis: consistency of classical theory
论文作者
论文摘要
Horndeski理论中的创世纪是宇宙开始的可能场景之一。在此模型中,缺乏不稳定性是以牺牲系数为有效的普朗克群众的财产,在渐近学中消失的$ t \ rightarrow -\ iffty $,这表明了经典治疗的强耦合和不一致的危险。我们在特定模型中研究了这个问题,并将扰动的立方作用(ARXIV:2003.01202)扩展到任意顺序。我们的研究基于对高阶项的功率计数和维度分析。我们得出后者,找到特征性强耦合能尺度,并获得经典描述有效性的条件。奇怪的是,我们发现最强的状况与已经检查的立方体病例相同。
Genesis within the Horndeski theory is one of possible scenarios for the start of the Universe. In this model, the absence of instabilities is obtained at the expense of the property that coefficients, serving as effective Planck masses, vanish in the asymptotics $t\rightarrow -\infty$, which signalizes the danger of strong coupling and inconsistency of the classical treatment. We investigate this problem in a specific model and extend the analysis of cubic action for perturbations (arXiv:2003.01202) to arbitrary order. Our study is based on power counting and dimensional analysis of the higher order terms. We derive the latter, find characteristic strong coupling energy scales and obtain the conditions for the validity of the classical description. Curiously, we find that the strongest condition is the same as that obtained in already examined cubic case.