Feedback effects on the pairing interaction in color superconductors near the transition temperature

We examine the role that the gap dependence of the pairing interaction plays in the gap equation for a weakly coupled uniform superfluid of three-flavor massless quarks near the transition temperature $T_c$. We find that the feedback effects on Landau-damped transverse gluons mediating the pairing interaction alter the gap magnitude in a way dependent on the color structure of the gap. We estimate corrections by these effects to the parameters characterizing the fourth-order terms in the Ginzburg-Landau free energy and ensure the stability of a color-flavor locked state near $T_c$.