We compute the graviton one-loop correction to the expectation value of the local expansion rate in slow-roll inflation, with both slow-roll parameters finite. The calculation is based on a recent method to explicitly construct gauge-invariant observables in perturbative quantum gravity at all orders in perturbation theory, and it is particularly suited in cases of highly-symmetrical space-time backgrounds. Our analysis adds to recent calculations of that correction in de Sitter space-time and in single-field inflation with constant deceleration. In the former case a vanishing one-loop correction was found, while in the latter the quantum backreaction produces a secular effect that accelerates the expansion. The quantum correction we describe here produces a finite secular effect that can either accelerated or decelerate the background expansion, depending on the value of the slow-roll parameters.

我们计算了慢滚膨胀中局部膨胀率期望值的引力子单环修正，两个慢滚参数都是有限的。该计算基于最近的一种方法，该方法在微扰理论中的所有阶的微扰量子引力中明确构造规范不变可观测量，并且它特别适用于高度对称的时空背景的情况。我们的分析增加了最近对德西特时空和单场暴胀持续减速的修正的计算。在前一种情况下，发现了一个消失的单环修正，而在后一种情况下，量子逆反应产生了一种加速膨胀的长期效应。我们在此描述的量子校正产生了一种有限的长期效应，可以加速或减速背景扩张，