We review recent studies of the operator product expansion of the plaquette and of the associated determination of the gluon condensate. One first needs the perturbative expansion to orders high enough to reach the asymptotic regime where the renormalon behavior sets in. The divergent perturbative series is formally regulated using the principal value prescription for its Borel integral. Subtracting the perturbative series truncated at the minimal term, we obtain the leading non-perturbative correction of the operator product expansion, i.e., the gluon condensate, with superasymptotic accuracy. It is then explored how to increase such precision within the context of the hyperasymptotic expansion. The results fully confirm expectations from renormalons and the operator product expansion.

我们回顾了最近关于血小板的操作者产品膨胀和胶子凝聚物的相关测定的研究。首先需要微扰扩展到足够高的阶数以达到重整子行为开始的渐近状态。发散微扰级数使用其 Borel 积分的主值处方来正式调节。减去在极小项处截断的微扰级数，我们获得了算子乘积展开的领先非微扰校正，即胶子凝聚物，具有超渐近精度。然后探讨如何在超渐近扩展的背景下提高这种精度。结果完全证实了重正子和算子乘积扩展的预期。