Hedin's equations and enumeration of Feynman's diagrams

Abstract

Hedin's equations are solved perturbatively in zero dimension to count Feynman graphs for self-energy, polarization, propagator, effective potential and vertex function in a many-body theory of fermions with two-body interaction. Counting numbers are also obtained in the GW approximation.

arXiv commentRevised published version, 3 pages, no figures

References in corpus (7)

• The GW method
• Systematic vertex corrections through iterative solution of Hedin's equations beyond the GW approximation
• Diagrammatic self-energy approximations and the total particle number
• Zero-dimensional field theory
• Functional Closure of Schwinger-Dyson Equations in Quantum Electrodynamics, Part 1: Generation of Connected and One-Particle Irreducible Feynman Diagrams
• Counting planar diagrams with various restrictions
• Many-Body Vacuum Diagrams and Their Recursive Graphical Construction

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