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arXiv · 2302.02019

Tubings, chord diagrams, and Dyson--Schwinger equations

Paul-Hermann Balduf·Amelia Cantwell·Kurusch Ebrahimi-Fard·Lukas Nabergall·Nicholas Olson-Harris·Karen Yeats
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Abstract

We give series solutions to single insertion place propagator-type systems of Dyson--Schwinger equations using binary tubings of rooted trees. These solutions are combinatorially transparent in the sense that each tubing has a straightforward contribution. The Dyson--Schwinger equations solved here are more general than those previously solved by chord diagram techniques, including systems and non-integer values of the insertion parameter $s$. We remark on interesting combinatorial connections and properties.

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Paul-Hermann Balduf, Amelia Cantwell, Kurusch Ebrahimi-Fard, Lukas Nabergall, Nicholas Olson-Harris, Karen Yeats. 2023-02-03. Tubings, chord diagrams, and Dyson--Schwinger equations. https://arxiv.org/abs/2302.02019

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