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Definition of Chern-Simons Terms in Thermal QED_3 Revisited

S. Deser·L. Griguolo·D. Seminara
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Abstract

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.

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S. Deser, L. Griguolo, D. Seminara. 1997-12-19. Definition of Chern-Simons Terms in Thermal QED_3 Revisited. https://doi.org/10.1007/s002200050459

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