  We show using diagramtic arguments that in some (but not all) cases, the
temperature dependent part of the chiral vortical effect coefficient is
independent of the coupling constant. An interpretation of this result in terms
of quantization in the effective 3 dimensional Chern-Simons theory is also
given. In the language of 3D dimensionally reduced theory, the value of the
chiral vortical coefficient is related to the formula $\sum_{n=1}^\infty
n=-1/12$. We also show that in the presence of dynamical gauge fields, the CVE
coefficient is not protected from renormalization, even in the large $N$ limit.
