论文标题
2个连接和弦图数的渐近扩展
An Asymptotic Expansion for the Number of 2-Connected Chord Diagrams
论文作者
论文摘要
我们得出了连接和弦图的生成函数与2个连接和弦图之间的功能关系。这种关系使我们能够计算$ n $和弦上2个连接和弦图的数量的渐近扩展。从该扩展中获得的渐近信息完善了最后建立的结果，并提供了一种简单的替代方法，用于计算Quenched QED和Yukawa理论中某些绿色功能的渐近行为。
We derive a functional relation between the generating functions of connected chord diagrams and 2-connected chord diagrams. This relation enables us to calculate an asymptotic expansion for the number of 2-connected chord diagrams on $n$ chords. The asymptotic information obtained from this expansion refines the last established results and provides a simple alternative for calculating the asymptotic behaviour of certain Green functions in Quenched QED and Yukawa theory in the context of quantum field theory.
