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Particle-hole-magnetic and particle-particle-pairing susceptibilities can be expressed in terms of dressed Green's functions and interaction vertices. Using quantum Monte Carlo simulation techniques, the effect of the interaction vertices is examined to determine the sign and relative magnitude of the effective pairing interaction in various channels for the two-dimensional Hubbard model. Near half filling we find that the singlet dₗ^{2-y^2} pairing interaction is the most attractive. The extended near-neighbor s interaction is also weakly attractive, while the singlet sₗₘ and dₗₘ and the triplet pₗ interactions are repulsive.
White et al. (Sun,) studied this question.