By perturbative calculations of the high temperature ground-state axia
l current in intrinsic regularization, an anomalous Chern-Simons topol
ogical mass term is induced in the three-dimensional effective action.
The anomaly in three dimensions appears just in the ground-state curr
ent rather than in the divergence of ground-state current. In the abel
ian case, the contribution comes only from the vacuum polarization gra
ph, whereas in the nonabclian case, contributions come from the vacuum
polarization graph and the two triangle graphs.