Abstract

The Maxwell–Chern–Simons gauge theory coupled to a complex scalar field is quantized in the Becchi–Rouet–Stora–Tyutin path integral formalism. Based on the symmetries of a constrained canonical (Hamiltonian) system, we obtain the quantal conserved angular momentum of the system under the global symmetry transformation. It is shown that fractional spin also appears at the quantum level. The canonical Ward identities for this system are derived under local gauge transformation.

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