算子乘积展开的超渐近和超渐近逼近
Superasymptotic and hyperasymptotic approximation to the operator product expansion
摘要：
给定一个可观察的和它的算子乘积展开（OPE），我们提出的表达式，仔细解开截断总和的扰动系列的权力$α$的非微扰（NP）的修正。这种分离是以NP幂精度完成的。实现了分裂的解析控制，并且沿着超/超渐近展开来组织不同的项。作为一个测试，我们适用于静态电位在大$β_0$近似的方法。我们看到了可观测量的超渐近和超渐近结构。
英文摘要：
Given an observable and its operator product expansion (OPE), we present expressions that carefully disentangle truncated sums of the perturbative series in powers of $α$ from the non-perturbative (NP) corrections. This splitting is done with NP power accuracy. Analytic control of the splitting is achieved and the organization of the different terms is done along an super/hyper-asymptotic expansion. As a test we apply the methods to the static potential in the large $β_0$ approximation. We see the superasymptotic and hyperasymptotic structure of the observable in full glory.
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