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of 185
pro vyhledávání: '"Yeats, Karen"'
We give a novel combinatorial interpretation to the perturbative series solutions for a class of Dyson-Schwinger equations. We show how binary tubings of rooted trees with labels from an alphabet on the tubes, and where the labels satisfy certain com
Externí odkaz:
http://arxiv.org/abs/2408.15883
Autor:
Umbert, Bruno Giménez, Yeats, Karen
The global Schwinger formula, introduced by Cachazo and Early as a single integral over the positive tropical Grassmannian, provides a way to uncover properties of scattering amplitudes which are hard to see in their standard Feynman diagram formulat
Externí odkaz:
http://arxiv.org/abs/2403.17051
We study the boundaries of the positroid cells which arise from N = 4 super Yang Mills theory. Our main tool is a new diagrammatic object which generalizes the Wilson loop diagrams used to represent interactions in the theory. We prove conditions und
Externí odkaz:
http://arxiv.org/abs/2401.05592
Autor:
Yeats, Karen, Zalel, Stav
Publikováno v:
Electron. J Combin. 31 no.3 (2024), #P3.9
We give a framework for growth models on posets which simultaneously generalizes the Classical Sequential Growth models for posets from causal set theory and the tree growth models of natural growth and simple tree classes, the latter of which also a
Externí odkaz:
http://arxiv.org/abs/2310.17547
Autor:
Hu, Simone, Yeats, Karen
Lukowiski, Parisi, and Williams formulated the T-duality map of string theory at a purely combinatorial level as a map on decorated permutations. We combinatorially describe this map at the level of Le diagrams. This perspective makes the dimension s
Externí odkaz:
http://arxiv.org/abs/2308.06307
Autor:
Panzer, Erik, Yeats, Karen
For every regular graph, we define a sequence of integers, using the recursion of the Martin polynomial. This sequence counts spanning tree partitions and constitutes the diagonal coefficients of powers of the Kirchhoff polynomial. We prove that this
Externí odkaz:
http://arxiv.org/abs/2304.05299
Autor:
Balduf, Paul-Hermann, Cantwell, Amelia, Ebrahimi-Fard, Kurusch, Nabergall, Lukas, Olson-Harris, Nicholas, Yeats, Karen
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 contrib
Externí odkaz:
http://arxiv.org/abs/2302.02019
Autor:
Dallaway, William, Yeats, Karen
We investigate a system of differential equations for the beta function of massless scalar $\phi^4$ theory and continue the combinatorial investigation of the cut structure of Feynman diagrams.
Comment: 32 pages
Comment: 32 pages
Externí odkaz:
http://arxiv.org/abs/2210.01164