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We examine the validity of the weak coupling spin-susceptibility "glue"approximation (SSGA) in a two-dimensional Hubbard model for cuprates. Forcomparison, we employ the well-established dynamical cluster approximation(DCA) with a quantum Monte Carlo algorithm as a cluster solver. We compare theleading eigenvalues and corresponding eigenfunctions of the DCA and SSGApairing matrices. For realistic model parameters, we find that the SSGA failsto capture the leading pairing symmetries seen in the DCA. Furthermore, whenthe SSGA is improved through the addition of a term with d-wave symmetry, thestrength of this additional term is found to be larger than that of the "glue"approximation.

Validity of the spin-susceptibility "glue" approximation for pairing in the two-dimensional Hubbard model