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Induced Chern-Simons Term at High Temperature in Intrinsic Regularization

By perturbative calculations of the high temperature ground-state axial current in intrinsic regularization, an anomalous Chern-Simons topological mass term is induced in the three-dimensional effective action. The anomaly in three dimensions appears just in the ground-state current rather than in the divergence of ground-state current. In the abelian case, the contribution comes only from the vacuum polarization graph, whereas in the nonabelian case, contributions come from the vacuum polarization graph and the two triangle graphs.