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  Enumeration of N-rooted maps using quantum field theory

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0003-D636-F Version Permalink: https://hdl.handle.net/21.11116/0000-0003-D67F-E
Genre: Journal Article
Latex : Enumeration of $N$-rooted maps using quantum field theory

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 Creators:
Gopala, K. Krishna, Author
Labelle, Patrick1, Author           
Shramchenko, Vasilisa1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematical Physics, Combinatorics, Mathematics
 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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Language(s): eng - English
 Dates: 2018
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 1709.01200
URI: http://arxiv.org/abs/1709.01200
DOI: 10.1016/j.nuclphysb.2018.09.017
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Title: Nuclear Physics B
  Abbreviation : Nuclear Phys. B
Source Genre: Journal
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Pages: - Volume / Issue: 936 Sequence Number: - Start / End Page: 668 - 689 Identifier: -