费米子多体问题中Arquès-Walsh序列公式与每一微扰阶连通Feynman图数的等价性
Equivalence between the Arquès-Walsh sequence formula and the number of connected Feynman diagrams for every perturbation order in the fermionic many-body problem
摘要：
从精确格林函数的微扰展开式出发，导出了确定不同类型连通费曼图个数的精确计数公式。这个公式与根映射理论中的Arquès-Walsh序列公式一致，支持了费曼图与根映射之间的拓扑联系。一个分类总结条款的方法，在连接到离散数学理论。
英文摘要：
From the perturbative expansion of the exact Green function, an exact counting formula is derived to determine the number of different types of connected Feynman diagrams. This formula coincides with the Arquès-Walsh sequence formula in the rooted map theory, supporting the topological connection between Feynman diagrams and rooted maps. A classificatory summing-terms approach is used, in connection to discrete mathematical theory.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
