Abstract
We consider the CP1 model with the Chern-Simons term coupled to a fermion, which is a possible model of the high-Tc superconductivity. By using the Dirac algorithm, we construct the generalized Hamiltonian formalism for this system and quantize it canonically. The path-integral quantization is also performed following the Faddeev-Senjanovic procedure. On the basis of the quantized system, we show that the bose-fermi transmutation of each field content occurs, by investigating the equal-time (anti-) commutators.
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