A chord diagram expansion coming from some Dyson-Schwinger equations

作者:Marie Nicolas*; Yeats Karen
来源:Communications in Number Theory and Physics, 2013, 7(2): 251-291.
DOI:10.4310/CNTP.2013.v7.n2.a2

摘要

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.

  • 出版日期2013-6