Tubings, chord diagrams, and Dyson--Schwinger equations
Fuente:
arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909268372881408 |
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| author | Balduf, Paul-Hermann Cantwell, Amelia Ebrahimi-Fard, Kurusch Nabergall, Lukas Olson-Harris, Nicholas Yeats, Karen |
| author_facet | Balduf, Paul-Hermann Cantwell, Amelia Ebrahimi-Fard, Kurusch Nabergall, Lukas Olson-Harris, Nicholas Yeats, Karen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_02019 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tubings, chord diagrams, and Dyson--Schwinger equations Balduf, Paul-Hermann Cantwell, Amelia Ebrahimi-Fard, Kurusch Nabergall, Lukas Olson-Harris, Nicholas Yeats, Karen Combinatorics High Energy Physics - Theory Mathematical Physics 81Q30, 81T18, 16T30, 05C05 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. |
| title | Tubings, chord diagrams, and Dyson--Schwinger equations |
| topic | Combinatorics High Energy Physics - Theory Mathematical Physics 81Q30, 81T18, 16T30, 05C05 |
| url | https://arxiv.org/abs/2302.02019 |