Ten exact three-particle Bethe-Salpeter ladder equations are derived, and an approximate ladder built from two-particle vertices matches exact non-linear response only qualitatively at weak coupling.
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Ladder equation for the three-particle vertex and its approximate solution
Ten exact three-particle Bethe-Salpeter ladder equations are derived, and an approximate ladder built from two-particle vertices matches exact non-linear response only qualitatively at weak coupling.