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Connected chord diagrams, bridgeless maps, and perturbative quantum field theory
Multi angle
Authors : Yeats, Karen (Author of the conference)
CIRM (Publisher )
05C80 - Random graphs
81T15 - Perturbative methods of renormalization (quantum theory)
81T18 - Feynman diagrams
CIRM (Publisher )
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Abstract :
Rooted connected chord diagrams can be used to index certain expansions in quantum field theory. There is also a nice bijection between rooted connected chord diagrams and bridgeless maps. I will discuss each of these things as well as how the second sheds light on the first. (Based on work with Nicolas Marie, Markus Hihn, Julien Courtiel, and Noam Zeilberger.)
MSC Codes : 05C80 - Random graphs
81T15 - Perturbative methods of renormalization (quantum theory)
81T18 - Feynman diagrams
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 06/07/17 Conference Date : 28/06/17 Subseries : Research talks arXiv category : Combinatorics ; Mathematical Physics Mathematical Area(s) : Mathematical Physics ; Combinatorics Format : MP4 (.mp4) - HD Video Time : 01:04:31 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-06-28_Yeats.mp4 
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Information on the Event
Event Title : Algebraic combinatorics, resurgence, moulds and applications / Combinatoire algébrique, résurgence, moules et applicationsEvent Organizers : Chapoton, Frédéric ; Fauvet, Frédéric ; Malvenuto, Claudia ; Thibon, Jean-Yves Dates : 26/06/17 - 30/06/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1599.html
Citation Data
DOI : 10.24350/CIRM.V.19190703Cite this video as: Yeats, Karen (2017). Connected chord diagrams, bridgeless maps, and perturbative quantum field theory. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19190703 URI : http://dx.doi.org/10.24350/CIRM.V.19190703 |
See Also
- [Multi angle] Free post-Lie algebras, the Hopf algebra of Lie group integrators and planar arborification / Author of the conference Manchon, Dominique.
- [Multi angle] Combinatorics of Feynman integrals / Author of the conference Broadhurst, David.
- [Multi angle] Quantum geometry and resurgent perturbative/nonperturbative relations / Author of the conference Dunne, Gerald.
- [Post-edited] Taming the coloured multizetas / Author of the conference Ecalle, Jean.
Bibliography
- Courtiel, J., Yeats, K., & Zeilberger, N. (2016). Connected chord diagrams and bridgeless maps.
