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arXiv · 2009.12688

An Asymptotic Expansion for the Number of 2-Connected Chord Diagrams

Ali Assem Mahmoud
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Abstract

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.

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Ali Assem Mahmoud. 2020-10-07. An Asymptotic Expansion for the Number of 2-Connected Chord Diagrams. https://arxiv.org/abs/2009.12688

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