Definition of Chern-Simons Terms in Thermal QED_3 Revisited

Abstract

We present two compact derivations of the correct definition of the Chern-Simons term in the topologically non trivial context of thermal $QE{D}_3$. 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.

9 pages, RevTex, no figures, new derivation from non abelian embedding added

References in corpus (1)

• Effective QED Actions: Representations, Gauge Invariance, Anomalies and Mass Expansions

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