We provide an overview of the tools and techniques of resurgence theory used in the Borel-Écalle resummation method, which we then apply to the massless Wess–Zumino model. Starting from already known results on the anomalous dimension of the Wess–Zumino model, we solve its renormalisation group equation for the two-point function in a space of formal series. We show that this solution is 1-Gevrey and that its Borel transform is resurgent. The Schwinger–Dyson equation of the model is then used to prove an asymptotic exponential bound for the Borel transformed two-point function on a star-shaped domain of a suitable ramified complex plane. This proves that the two-point function of the Wess–Zumino model is Borel-Écalle summable.

我们提供了在Borel-Écalle恢复方法中使用的回潮理论的工具和技术的概述，然后将其应用于无质量的Wess-Zumino模型。从关于Wess-Zumino模型反常维的已知结果开始，我们在形式级数空间中求解其两点函数的重归一化组方程。我们证明了该解决方案是1-Gevrey，并且其Borel变换是中兴的。然后，该模型的Schwinger-Dyson方程用于证明Borel变换的两点函数在合适的分枝复平面的星形区域上的渐近指数界。这证明了Wess–Zumino模型的两点函数是Borel-Écalle可加的。