Derivation of a stability condition reveals that misleading convergence in self-consistent many-electron theories can occur independently of irreducible vertex divergences, with a stabilization procedure proposed.
However, the existence of multiple solutions for the equa- tion G[G0] = Gphys is due to the multivaluedness of the LWF
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Origin of misleading convergence in self-consistent many-electron theories: Fundamental aspects and practical implications
Derivation of a stability condition reveals that misleading convergence in self-consistent many-electron theories can occur independently of irreducible vertex divergences, with a stabilization procedure proposed.