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arXiv · 1709.01200

Enumeration of N-rooted maps using quantum field theory

K. Krishna Gopala·Patrick Labelle·Vasilisa Shramchenko
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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.

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K. Krishna Gopala, Patrick Labelle, Vasilisa Shramchenko. 2018-04-04. Enumeration of N-rooted maps using quantum field theory. https://arxiv.org/abs/1709.01200

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