  Recently, a systematic experiment measuring critical anomaly of viscosity of
polymer solutions has been reported by H. Tanaka and his co-workers
(Phys.Rev.E, 65, 021802, (2002)). According to their experiments, the dynamic
critical exponent of viscosity y_c drastically decreases with increasing the
molecular weight. In this article the kinetic coefficients renormalized by the
non-linear hydrodynamic interaction are calculated by the mode coupling theory.
We predict that the critical divergence of viscosity should be suppressed with
increasing the molecular weight. The diffusion constant and the dynamic
structure factor are also calculated. The present results explicitly show that
the critical dynamics of polymer solutions should be affected by an extra
spatio-temporal scale intrinsic to polymer solutions, and are consistent with
the experiment of Tanaka, et al.
