Communications in Number Theory and Physics
Volume 7 (2013)
A chord diagram expansion coming from some Dyson-Schwinger equations
Pages: 251 – 291
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.