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

(Non)-Renormalization of the Chiral Vortical Effect Coefficient