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Quantum geometry and resurgent perturbative/nonperturbative relations
Multi angle
Authors : Dunne, Gerald (Author of the conference)
CIRM (Publisher )
81Q20 - Semi-classical techniques in quantum theory, including WKB and Maslov methods
81T15 - Perturbative methods of renormalization (quantum theory)
81T16 - Nonperturbative methods of renormalization
CIRM (Publisher )
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Abstract :
Certain quantum spectral problems have the remarkable property that the formal perturbative series for the energy spectrum can be used to generate all other terms in the entire trans-series, in a completely constructive manner. I explain a geometric all-orders WKB approach to these perturbative/non-perturbative relations, which reveals surprising connections to number theory and modular forms.
MSC Codes : 81Q20 - Semi-classical techniques in quantum theory, including WKB and Maslov methods
81T15 - Perturbative methods of renormalization (quantum theory)
81T16 - Nonperturbative methods of renormalization
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 06/07/17 Conference Date : 27/06/17 Subseries : Research talks arXiv category : High Energy Physics Mathematical Area(s) : Mathematical Physics ; Number Theory Format : MP4 (.mp4) - HD Video Time : 01:05:23 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-06-27_Dunne.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.19190303Cite this video as: Dunne, Gerald (2017). Quantum geometry and resurgent perturbative/nonperturbative relations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19190303 URI : http://dx.doi.org/10.24350/CIRM.V.19190303 |
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] Connected chord diagrams, bridgeless maps, and perturbative quantum field theory / Author of the conference Yeats, Karen.
- [Multi angle] Combinatorics of Feynman integrals / Author of the conference Broadhurst, David.
- [Post-edited] Taming the coloured multizetas / Author of the conference Ecalle, Jean.
Bibliography
- Basar, G., & Dunne, G.V. (2017). Quantum geometry of resurgent perturbative/nonperturbative relations. Journal of High Energy Physics, 2017(5), 87 p. - http://dx.doi.org/10.1007/JHEP05(2017)087
