Analytic solution of Hedin’s equations in zero dimensions

DOI10.1063/1.2728512zbMath1144.81401OpenAlexW2157673990MaRDI QIDQ3529702

W. Hübner, Y. Pavlyukh

Publication date: 14 October 2008

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

Full work available at URL: https://doi.org/10.1063/1.2728512

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Feynman diagrams (81T18) Applications of hypergeometric functions (33C90)

Related Items (7)

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 ⋮ An exactly solvable self-convolutive recurrence ⋮ Unphysical and physical solutions in many-body theories: from weak to strong correlation ⋮ Approximations for many-body Green's functions: insights from the fundamental equations ⋮ Solution to the many-body problem in one point ⋮ A combinatorial matrix approach for the generation of vacuum Feynman graphs multiplicities in $\phi^{4}$ theory

Cites Work

• The enumeration of connected graphs and linked diagrams
• On a class of linked diagrams. I: Enumeration
• On a class of linked diagrams. II: Asymptotics
• Analytic combinatorics of non-crossing configurations
• Counting planar diagrams with various restrictions
• Abel ODEs: Equivalence and integrable classes
• Planar diagrams
• On the number of chord diagrams
• Critical exponents of theN-vector model
• Non-Sexist Solution of the Menage Problem
• Proportions of Irreducible Diagrams
• Sur Un Problème De Configurations Et Sur Les Fractions Continues
• Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Padé-Borel resummation.
• Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality

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