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.
Received: 17 June 2003
Revised: 24 July 2003
Accepted manuscript online:
Fund: Project supported by the Youth Foundation of Beijing University of Technology (Grant No JQ0607200370).
Cite this article:
Jiang Jin-Huan (江金环), Liu Yun (刘赟), Li Zi-Ping (李子平) The symmetries in the Maxwell－Chern－Simons theory coupled to matter fields 2004 Chinese Physics 13 153
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