Tubings, chord diagrams, and Dyson–Schwinger equations
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 noninteger values of the insertion parameter . We remark on interesting combinatorial connections and properties.
Authors
- Lukas Nabergall
- Nicholas Olson‐Harris
- Kurusch Ebrahimi‐Fard (ORCID: https://orcid.org/0000-0001-5180-5835)
- Paul‐Hermann Balduf (ORCID: https://orcid.org/0000-0003-4475-3031)
- Karen Yeats (ORCID: https://orcid.org/0000-0003-0347-6525)
- Amelia Cantwell
Institutions
- University of Waterloo (CA)
- Norwegian University of Science and Technology (NO)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2024-10-13
- DOI
- https://doi.org/10.1112/jlms.70006
- Citations
- 5
- Primary Topic
- Genome Rearrangement Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 2.75
Funders
- Simons Foundation
- Canada Research Chairs
- Natural Sciences and Engineering Research Council of Canada