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.
Definition of Chern-Simons terms in thermal QED(3) revisited / S., Deser; Griguolo, Luca; D., Seminara. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 197:2(1998), pp. 443-450. [10.1007/s002200050459]
Definition of Chern-Simons terms in thermal QED(3) revisited
GRIGUOLO, Luca;
1998-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
