Prog. Theor. Phys. Vol. 82 No. 3 (1989) pp. 608-615
Current-Carrying Classical Solutions of Generalized Maxwell Theory with Chern-Simons Term
Department of Physics, Hokkaido University, Sapporo 060
(Received April 22, 1989)
Classical properties of a generalized Maxwell electromagnetic theory which is made by adding
a Chern-Simons term to the action are studied. Since the Chern-Simons term is bi-linear in the vector
potential but is of first order derivatives, current can be carried by the gauge field. Current-carrying
classical solutions are obtained. A new boundary condition is required if the Chern-Simons term is
defined in a finite region of space.
DOI : 10.1143/PTP.82.608
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