Enumeration of N-rooted maps using quantum field theory
Mathematical Physics
2018-04-06 v2 Combinatorics
math.MP
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.
Cite
@article{arxiv.1709.01200,
title = {Enumeration of N-rooted maps using quantum field theory},
author = {K. Krishna Gopala and Patrick Labelle and Vasilisa Shramchenko},
journal= {arXiv preprint arXiv:1709.01200},
year = {2018}
}
Comments
27 pages, 7 figures