http://hdl.handle.net/20.500.12128/7077
Tytuł: | Some remarks on non-planar Feynman diagrams |
Autor: | Bielas, Krzysztof Dubovyk, Ievgen Gluza, Janusz Riemann, Tord |
Słowa kluczowe: | algebra komputerowa; chromodynamika kwantowa; kombinatoryka; diagramy Feynmana |
Data wydania: | 2013 |
Źródło: | Acta Physica Polonica B, Vol. 44, no. 11 (2013), s. 2249-2255 |
Abstrakt: | Two criteria for planarity of a Feynman diagram upon its propagators (momentum flows) are presented. Instructive Mathematica programs that solve the problem and examples are provided. A simple geometric argument is used to show that while one can planarize non-planar graphs by embedding them on higher-genus surfaces (in the example it is a torus), there is still a problem with defining appropriate dual variables since the corresponding faces of the graph are absorbed by torus generators. |
URI: | http://hdl.handle.net/20.500.12128/7077 |
DOI: | 10.5506/APhysPolB.44.2249 |
ISSN: | 0587-4254 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Bielas_Some_remarks_on_non_planar_Feynman.pdf | 562,4 kB | Adobe PDF | Przejrzyj / Otwórz |
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