具有指数精度的元格的理论描述
Theoretical description of the plaquette with exponential accuracy
摘要：
本文综述了格元的算子乘积展开和胶子凝聚的确定的最新研究。首先需要微扰展开到足够高的阶数，以达到渐近状态，在该状态下重正隆行为开始。利用Borel积分的主值公式对发散型摄动级数进行了形式化的规范。减去在最小项处截断的微扰级数，得到了超渐近精度的算子乘积展开即胶子凝聚的首项非微扰修正.然后探讨如何提高这种精度的超渐近展开的背景下。结果完全证实了renormalons和算子乘积展开的预期。
英文摘要：
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.
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