Equivalence between the Arquès-Walsh sequence formula and the number of connected Feynman diagrams for every perturbation order in the fermionic many-body problem

DOI10.1063/1.4994824zbMath1382.81243arXiv1804.02110OpenAlexW3098196209MaRDI QIDQ4607701

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Publication date: 14 March 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.02110

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Perturbation theories for operators and differential equations in quantum theory (81Q15) Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Green's functions for elliptic equations (35J08)

Related Items (3)

A recursive enumeration of connected Feynman diagrams with an arbitrary number of external legs in the fermionic non-relativistic interacting gas ⋮ An exact solution method for the enumeration of connected Feynman diagrams ⋮ A combinatorial matrix approach for the generation of vacuum Feynman graphs multiplicities in $\phi^{4}$ theory

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