中国物理B ›› 2006, Vol. 15 ›› Issue (9): 1976-1980.doi: 10.1088/1009-1963/15/9/013

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The CP1 nonlinear sigma model with Chern--Simons term in the Faddeev--Jachiw quantization formalism

李子平1, 王永龙2   

  1. (1)College of Applied Science, Beijing University of Technology, Beijing 100022, Chin; (2)Institute of Condensed Matter of Physics and Department of Physics, Linyi Normal University, Shandong 276005, China
  • 收稿日期:2005-05-27 修回日期:2006-02-03 出版日期:2006-09-20 发布日期:2006-09-20
  • 基金资助:
    Project supported by the Foundation of Beijing Municipal Natural Science of China (Grant No 1942005).

The CP1 nonlinear sigma model with Chern--Simons term in the Faddeev--Jachiw quantization formalism

Wang Yong-Long(王永龙)a)† and Li Zi-Ping(李子平)b)ǂ   

  1. a Institute of Condensed Matter of Physics and Department of Physics, Linyi Normal University, Shandong 276005, China; b College of Applied Science, Beijing University of Technology, Beijing 100022, China
  • Received:2005-05-27 Revised:2006-02-03 Online:2006-09-20 Published:2006-09-20
  • Supported by:
    Project supported by the Foundation of Beijing Municipal Natural Science of China (Grant No 1942005).

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摘要： Using the Faddeev--Jackiw (FJ) quantization method,this paper treats the CP1 nonlinear sigma model with Chern--Simons term. The generalized FJ brackets are obtained in the framework of this quantization method, which agree with the results obtained by using the Dirac's method.

关键词: Faddeev--Jackiw quantization method, CP1 nonlinear sigma model, Chern--Simons theories, constrained systems

Abstract: Using the Faddeev--Jackiw (FJ) quantization method,this paper treats the CP1 nonlinear sigma model with Chern--Simons term. The generalized FJ brackets are obtained in the framework of this quantization method, which agree with the results obtained by using the Dirac's method.

Key words: Faddeev--Jackiw quantization method, CP1 nonlinear sigma model, Chern--Simons theories, constrained systems

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos)