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Pairing-fluctuation effect in d-wave superconductivity

On the basis of a ladder-diagram approximation, we study the pairing-fluctuation effect in d-wave superconductivity. The single particles and pairs are treated on an equal footing. In the superconducting state, the predominant pairing fluctuation is due to the excitation of pairs to the states of the Goldstone mode. These bosonic degrees of freedom are relevant to the pseudogap physics in high-Tc cuprates. The Green function of electrons is obtained as an analytic solution to a cubic equation. The superconducting order parameter and the transition temperature are substantially reduced from the values of the mean-field theory. The calculated phase boundary of the superconductivity can reasonably describe the experiment results for cuprates.