Generalized chord diagram expansions of Dyson-Schwinger equations
Mathematical Physics
2016-02-09 v1 Combinatorics
math.MP
Abstract
Series solutions for a large family of single equation Dyson-Schwinger equations are given as expansions over decorated rooted connected chord diagrams. The analytic input to the new expansions are the expansions of the regularized integrals for the primitive graphs building the Dyson-Schwinger equation. Each decorated chord diagram contributes a weighted monomial in the coefficients of the expansions of the primitives and so indexes the analytic solution in a tightly controlled way.
Keywords
Cite
@article{arxiv.1602.02550,
title = {Generalized chord diagram expansions of Dyson-Schwinger equations},
author = {Markus Hihn and Karen Yeats},
journal= {arXiv preprint arXiv:1602.02550},
year = {2016}
}
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26 pages