论文标题
Ward-Schwinger-Dyson方程的复发分析
Resurgent Analysis of Ward-Schwinger-Dyson Equations
论文作者
论文摘要
在我们最近针对立方相互作用模型的Ward-Schwinger-Dyson方程推导的基础上，我们在这里介绍了它们复兴分析的第一步。在我们推导WSD方程的过程中，我们确保它们具有与肾小效应组方程的兼容性，并且与正则化程序具有独立性，该程序已知可以在Wess-Zumino模型中进行可比的研究。该场和顶点的跨系列术语之间的相互作用是意外特征的起源，在此阶段，高阶校正的效果尚不确切地知道：我们只在使用量子量的量子域理论中使用重新效应的方法来破解非扰动效应的旅程的开始。
Building on our recent derivation of the Ward-Schwinger-Dyson equations for the cubic interaction model, we present here the first steps of their resurgent analysis. In our derivation of the WSD equations, we made sure that they had the properties of compatibility with the renormalisation group equations and independence from a regularisation procedure which was known to allow for the comparable studies in the Wess-Zumino model. The interactions between the transseries terms for the anomalous dimensions of the field and the vertex is at the origin of unexpected features, for which the effect of higher order corrections is not precisely known at this stage: we are only at the beginning of the journey to use resurgent methods to decipher non-perturbative effects in quantum field theory.
