We present two compact derivations of the correct definition of the Chern-Simons term in the topologically non trivial context of thermal QED3. 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.
Definition of Chern-Simons Terms in Thermal QED(3) Revisited / S. DESER; L. GRIGUOLO; D. SEMINARA. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 197:(1998), pp. 443-450. [10.1007/s002200050459]
Definition of Chern-Simons Terms in Thermal QED(3) Revisited
SEMINARA, DOMENICO
1998
Abstract
We present two compact derivations of the correct definition of the Chern-Simons term in the topologically non trivial context of thermal QED3. 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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