%0 Journal Article %T Definition of Chern-Simons Terms in Thermal QED_3 Revisited %A S. Deser %A L. Griguolo %A D. Seminara %J Mathematics %D 1997 %I arXiv %R 10.1007/s002200050459 %X We present two compact derivations of the correct definition of the Chern-Simons term in the topologically non trivial context of thermal $QED_3$. One is based on a transgression descent from a D=4 background connection, the other on embedding the abelian model in SU(2). The results agree with earlier cohomology conclusions and can be also used to justify a recent simple heuristic approach. The correction to the naive Chern-Simons term, and its behavior under large gauge transformations are displayed. %U http://arxiv.org/abs/hep-th/9712132v2