Induced chern-simons term in three-dimensional space at high temperature

Perturbative calculations of the high temperature ground-state axial vector current of fermion fields coupled to gauge fields lead to an appearance of an additional anomalous Chern-Simons topological mass term in three-dimensional effective action. In Abelian case contributions come only from the vacuum polarization graph, and in non-Abelian case contributions come from the vacuum polarization graph and the two triangle graphs.