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Causality violations in cluster GW+DMFT: Exact Lehmann moments and the necessity of non-local vertex corrections
The $GW$ approximation is known to violate causality, yielding self-energies with unphysical poles in the upper half of the complex frequency plane. The combined $GW$+DMFT approach attempts to cure this by injecting the exact local self-energy. Using exact diagonalization on minimal Hubbard clusters
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