AI 中文总结
该注记研究引力微扰论的高能极限，证明相关双体散射动量冲量的渐近级数虽发散但Borel可求和，还确定了展开系数的超越性性质。
AI 中文摘要
广义相对论的后闵可夫斯基展开将度规按牛顿常数G在平直时空附近展开，目前大量研究致力于通过对微扰级数进行全阶求和来拓展其适用范围。一个备受关注的区域是特定高能极限，近期推导的公式可给出双体散射问题的全阶动量冲量，甚至暗示了通向强耦合的途径。我们证明该内容是一个渐近展开；尽管级数发散，我们给出证据表明它是Borel可求和的，且积分形式的完整函数是有限的。作为副产品，我们确定了展开式中系数的超越性性质。
英文摘要
The post-Minkowskian expansion of general relativity expands the metric in Newton's constant G around flat space-time, but much effort currently focuses on ways to extend its range of applicability by summing the perturbative series to all orders. A regime of particular interest is a specific high-energy limit where a formula derived recently provides the momentum kick of binary scattering problem to all orders, and even suggests an approach towards strong coupling. We show that this is an asymptotic expansion. Although the series diverges we give evidence that it is Borel summable, and the full function in integral form is finite. As a by-product we determine the transcendentality properties of the coefficients in the expanded expression.
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