We calculate the covariant one-loop quantum gravitational effective action for a scalar field model inspired by the recently proposed nonminimal natural inflation model. Our calculation is perturbative, in the sense that the effective action is evaluated in orders of background field, around a Minkowski background. The effective potential has been evaluated taking into account the finite corrections. An order-of-magnitude estimate of the one-loop corrections reveals that gravitational and non-gravitational corrections have same or comparable magnitudes.

中文翻译：

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受非最小自然膨胀启发的标量场模型的协变量子校正

我们计算了受最近提出的非最小自然膨胀模型启发的标量场模型的协变单环量子引力有效作用。我们的计算是微扰的，因为有效动作是按照背景场的顺序评估的，围绕着闵可夫斯基背景。考虑到有限修正，已经评估了有效电势。单环修正的数量级估计表明重力和非重力修正具有相同或可比较的量级。