Enumeration of many-body skeleton diagrams

Details Enumeration of many-body skeleton diagrams Enumeration of many-body skeleton diagrams

2005-12-15

arxiv.org/abs/cond-mat/0512342v1

Eur. Phys. J. B 51, 331 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages including 4 figures

Scientific paper

10.1140/epjb/e2006-00223-9

The many-body dynamics of interacting electrons in condensed matter and quantum chemistry is often studied at the quasiparticle level, where the perturbative diagrammatic series is partially resummed. Based on Hedin's equations for self-energy, polarization, propagator, effective potential, and vertex function in zero dimension of space-time, dressed Feynman (skeleton) diagrams are enumerated. Such diagram counts provide useful basic checks for extensions of the theory for future realistic simulations.

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