https://doi.org/10.1140/epjb/e2006-00223-9
Enumeration of many-body skeleton diagrams
1
Dipartimento di Fisica dell'Università degli Studi di Milano, via Celoria 16, 20133 Milano, Italy and European Theoretical Spectroscopy Facility (E.T.S.F.), Milan node, Italy
2
I.N.F.N. Sezione di Milano, Milano, Italy
3
INFM - CNR, Unità di Milano, Milano, Italy
Corresponding author: a nicola.manini@mi.infm.it
Received:
24
February
2006
Published online:
13
June
2006
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, dressed (skeleton) Feynman diagrams are enumerated. Such diagram counts provide useful simple checks for extensions of the theory for future realistic simulations.
PACS: 71.10.-w – Theories and models of many-electron systems / 24.10.Cn – Many-body theory / 11.10.Gh – Renormalization
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006