We consider the polynomial inflation with the tensor-to-scalar ratio as large as possible which can be consistent with the quantum gravity (QG) corrections and effective field theory (EFT). To get a minimal field excursion Δϕ for enough e-folding number N, the inflaton field traverses an extremely flat part of the scalar potential, which results in the Lyth bound to be violated. We get a CMB signal consistent with Planck data by numerically computing the equation of motion for inflaton ϕ and using Mukhanov–Sasaki formalism for primordial spectrum. Inflation ends at Hubble slow-roll parameter or . Interestingly, we find an excellent practical bound on the inflaton excursion in the format , where a is a tiny real number and b is at the order 1. To be consistent with QG/EFT and suppress the high-dimensional operators, we show that the concrete condition on inflaton excursion is . For n _s = 0.9649, N _e = 55, and , we predict that the tensor-to-scalar ratio is smaller than 0.0012 for such polynomial inflation to be consistent with QG/EFT.

我们考虑了具有尽可能大的张量与标量比的多项式膨胀，这可以与量子引力 (QG) 校正和有效场论 (EFT) 一致。为了获得足够大的 e 折叠数N的最小场偏移 Δ ϕ，暴胀子场穿过标量势的一个非常平坦的部分，这导致 Lyth 势必被违反。我们通过数值计算暴胀子ϕ的运动方程并使用 Mukhanov-Sasaki 形式主义来获得与普朗克数据一致的 CMB 信号。通货膨胀以哈勃慢滚参数或 结束。有趣的是，我们发现一个优秀的实用格式绑定在暴胀游览，其中一是一个很小的实数，b的阶数为 1。为了与 QG/EFT 一致并抑制高维算子，我们证明了暴胀子偏移的具体条件是。对于Ñ _小号= 0.9649，Ñ _ë = 55，和，我们预测的张量对标量比率小于0.0012此类多项式通货膨胀为与QG / EFT是一致的。