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Cluster dynamical mean field methods are used to calculate thesuperconductivity-induced changes in the interplane conductivity and Ramanscattering cross section of the two dimensional Hubbard model. Whensuperconductivity emerges from the pseudogap, the superconducting response isfound to be diminished in amplitude, broadened and, in the case of theinterplane conductivity, shifted to higher frequency. The results are inagreement with data on high temperature copper-oxide superconductors indicatingthat the Hubbard model contains the essential low energy physics of thepseudogap and its interplay with superconductivity in the cuprates.

Superconducting and Pseudogap effects on the interplane conductivity and Raman scattering cross section in the two dimensional Hubbard Model