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.
Connected Chord Diagrams and the Combinatorics of Asymptotic Expansions
Some combinatorial aspects of quantum field theory
On the Enumerative Structures in Quantum Field Theory
![QR code for arXiv:2009.12688 [math.CO]](http://oss.arxitics.com/images/favicon.svg)