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Published October 1998 | Submitted
Journal Article Open

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 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.

Additional Information

© Springer-Verlag Berlin Heidelberg 1998. Received: 28 December 1997 / Accepted: 27 March 1998. Communicated by R. H. Dijkgraaf. This work is supported by NSF grant PHY93-15811, in part by funds provided by the U.S. D.O.E. under cooperative agreement #DE-FC02-94ER40818 and by INFN, Frascati, Italy.

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