Abstract
Abstract We investigate the canonical structures of U(1) gauge theories with the Chern-Simons term as the kinetic term of the gauge field, following the generalized hamiltonian formalism. In quantized theories, the gauge field which is expressed by using the charge density operator of matter in solving the Gauss law constraint, can be eliminated by a change of the matter variables. Then the condition of charge conservation which is guaranteed by gauge invariance leads us to the Bose-Fermi transmutation, which is found by investigating the equal-time (anti-) commutators. The specific feature of the theories is prominent by comparison with the usual case with the quadratic derivative term as the action of the gauge field.
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