Definition of Chern-Simons Terms in Thermal QED_3 Revisited

Details Definition of Chern-Simons Terms in Thermal QED_3 Revisited Definition of Chern-Simons Terms in Thermal QED_3 Revisited

1997-12-16

arxiv.org/abs/hep-th/9712132v2

Commun.Math.Phys.197:443-450,1998

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/s002200050459

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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