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Journal Article

Enumeration of N-rooted maps using quantum field theory

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Labelle,  Patrick
Max Planck Institute for Mathematics, Max Planck Society;

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Shramchenko,  Vasilisa
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Gopala, K. K., Labelle, P., & Shramchenko, V. (2018). Enumeration of N-rooted maps using quantum field theory. Nuclear Physics B, 936, 668-689. doi:10.1016/j.nuclphysb.2018.09.017.


Cite as: http://hdl.handle.net/21.11116/0000-0003-D636-F
Abstract
A one-to-one correspondence is proved between the N-rooted ribbon graphs, or maps, with e edges and the (e-N+1)-loop Feynman diagrams of a certain quantum field theory. This result is used to obtain explicit expressions and relations for the generating functions of N-rooted maps and for the numbers of N-rooted maps with a given number of edges using the path integral approach applied to the corresponding quantum field theory.