A chord diagram expansion coming from some Dyson-Schwinger equations
Combinatorics
2012-10-22 v1 Mathematical Physics
math.MP
Abstract
We give an expression for the solution to propagator-type Dyson-Schwinger equations with one primitive at 1 loop as an expansion over rooted connected chord diagrams. Along the way we give a refinement of a classical recurrence of rooted connected chord diagrams, and a representation in terms of binary trees.
Keywords
Cite
@article{arxiv.1210.5457,
title = {A chord diagram expansion coming from some Dyson-Schwinger equations},
author = {Nicolas Marie and Karen Yeats},
journal= {arXiv preprint arXiv:1210.5457},
year = {2012}
}
Comments
30 pages