A chord diagram expansion coming from some Dyson-Schwinger equations

Published 19 Oct 2012 in math.CO, math-ph, and math.MP | (1210.5457v1)

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.

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