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Accidental accuracy and formal consistency in $GW$+BSE: Exact benchmarks and regime-dependent error cancellation
Standard many-body perturbation theory for optical excitations combines the $GW$ approximation for quasiparticle energies with the Bethe-Salpeter equation (BSE) for the electron-hole response. Formally, the BSE kernel must equal the functional derivative of the self-energy, $K=δΣ/δG$. In routine pra
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