中国物理B ›› 2004, Vol. 13 ›› Issue (2): 153-158.doi: 10.1088/1009-1963/13/2/006

• GENERAL • 上一篇    下一篇

The symmetries in the Maxwell－Chern－Simons theory coupled to matter fields

江金环, 刘赟, 李子平   

  1. College of Applied Science, Beijing University of Technology, Beijing 100022, China
  • 收稿日期:2003-06-17 修回日期:2003-07-24 出版日期:2005-07-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the Youth Foundation of Beijing University of Technology (Grant No JQ0607200370).

The symmetries in the Maxwell－Chern－Simons theory coupled to matter fields

Jiang Jin-Huan (江金环), Liu Yun (刘赟), Li Zi-Ping (李子平)   

  1. College of Applied Science, Beijing University of Technology, Beijing 100022, China
  • Received:2003-06-17 Revised:2003-07-24 Online:2005-07-06 Published:2005-07-06
  • Supported by:
    Project supported by the Youth Foundation of Beijing University of Technology (Grant No JQ0607200370).

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摘要： 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.

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.

Key words: constrained Hamiltonian systems, path integral quantization, symmetry and conservation laws, fractional spin

中图分类号:  (Gauge field theories)

  • 11.15.-q
02.30.Cj (Measure and integration)