论文标题
一致的$ d \至4 $ EINSTEIN-GAUSS-BONNET重力的慢速通胀的功率谱
Power Spectra of Slow-Roll inflation in the consistent $D\to 4$ Einstein-Gauss-Bonnet gravity
论文作者
论文摘要
通常，以极高的能源状态进行的缓慢滚动通胀被认为对经典一般相对论（GR）的高阶曲率校正敏感。在本文中，我们研究了高阶曲率项，高斯 - 骨网（GB）项，对一致的$ d \ to 4 $ einstein Gauss-bonnet（4EGB）的原始标量和张量光谱的影响。通过将GB耦合常数$α\ toα/（d-4）$重新缩放在极限$ d \至4 $的情况下，将GB项纳入引力动力学。出于我们的目的，我们通过使用三阶均匀的渐近近似方法，在慢速滚动通货膨胀的慢速闭合近似中，明确计算具有GB校正的原始标量和张量功率光谱。标量和张量扰动的频谱指数的相应频谱指数以及标量和张量光谱之间的比率也被计算为在慢速滚动膨胀中的次临界顺序。这些结果代表了文献中迄今为止获得的最准确的结果。此外，通过研究标量光谱指数的理论预测和具有幂律潜力模型中Planck 2018约束的张量与量表比，我们表明二阶校正在将来的测量中很重要。
The slow-roll inflation which took place at extremely high energy regimes is in general believed to be sensitive to the high-order curvature corrections to the classical general relativity (GR). In this paper, we study the effects of the high-order curvature term, the Gauss-Bonnet (GB) term, on the primordial scalar and tensor spectra of the slow-roll inflation in the consistent $D \to 4$ Einstein Gauss-Bonnet (4EGB) gravity. The GB term is incorporated into gravitational dynamics via the re-scaling of the GB coupling constant $α\to α/(D-4)$ in the limit $ D\to 4$. For our purpose, we calculate explicitly the primordial scalar and tensor power spectra with GB corrections accurate to the next-to-leading order in the slow-roll approximation in the slow-roll inflation by using the third-order uniform asymptotic approximation method. The corresponding spectral indices and their runnings of the spectral indices for both the scalar and tensor perturbations as well as the ratio between the scalar and tensor spectra are also calculated up to the next-to-leading order in the slow-roll expansions. These results represent the most accurate results obtained so far in the literature. In addition, by studying the theoretical predictions of the scalar spectral index and the tensor-to-scalar ratio with Planck 2018 constraint in a model with power-law potential, we show that the second-order corrections are important in future measurements.
