Canonical Quantization of the Complex Scalar Field Coupled to the Abel Chern-Simons Term

LONG Zheng-Wen; LIU Bo; LI Zi-Ping

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2024年10月30日

Chinese Physics C> 2003, Vol. 27> Issue(10) : 866-869

Canonical Quantization of the Complex Scalar Field Coupled to the Abel Chern-Simons Term

Department of Physics,Guizhou University,Guiyang 550025,China2 College of Mathematics and Physics,Beijing Polytechnic University,Beijing 100022,China

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Abstract：
The Faddeev-Jackiw quantization method is applied to the complex scalar field coupled to the Abel Chern-Si-mons term, the results agree with the results obtained by using Dirac method. It is shown that this method is quite straightforward and elegant for this system.

References

[1]

Floreanini R, Jackiw R. Phys. Rev. Lett., 1987, 59:1873 2 Kulshreshtha D S, Muller–Kirsten H J. Phys. Rev., 1992, D45:R393 3 Barcelos–Neto J, Wotzasek C. Int. J. Mod. Phys., 1992, A7:4981 4 Barcelos–Neto J, Cheb–Terrab E S. Z. Phys., 1992, C45:1335 Kulshreshtha D S, Muller–Kirsten H J W. Phys. Rev., 1991, D43: 33766 Foussats A et al. Int. J. Theor. Phys., 1997, 36:55 7 Foussats A et al. Int. J. Theor. Phys., 1997, 36:29238 Wotzasek C. Phys. Rev., 1992, D46:2734 9 Barcelos–Neto J, Braga N R F. J. Math. Phys., 1994, 35:349710 Wilczek F. Phys. Rev. Lett., 1982, 49:957 11 JIANG J H, LI Z P. High Energy Phys. and Nucl. Phys., 1999, 23(8) :784 (in Chinese); LI Z P. High Energy Phys. and Nucl. Phys., 1997, 21(1) :34 (in Chinese)(江金环,李子平.高能物理与核物理,1999,23(8) :784;李子平.高能物理与核物理,1997,21(1) :34) 12 Haiperin B. Phys. Rev. Lett., 1984, 52:1583 13 Laughlin R B. Science, 1988, 242:525; Phys. Rev. Lett., 1988,60 : 2677 14 Faddeev L, Jackiw R. Phys. Rev. Lett., 1988, 60:169215 Barcelos–Neto J, Wotzasek C. Mod. Phys. Lett., 1992, A7:1737 16 Barcelos–Neto J, Wotzasek C. Int. J. Mod. Phys. , 1992, A7:498117 Montani H, Wotzasek C. Mod. Phys. Lett., 1993, A8:3387 18 Kim J K et al. J. Phys., 1994, A27:6067

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LONG Zheng-Wen, LIU Bo and LI Zi-Ping. Canonical Quantization of the Complex Scalar Field Coupled to the Abel Chern-Simons Term[J]. Chinese Physics C, 2003, 27(10): 866-869.

LONG Zheng-Wen, LIU Bo and LI Zi-Ping. Canonical Quantization of the Complex Scalar Field Coupled to the Abel Chern-Simons Term[J]. Chinese Physics C, 2003, 27(10): 866-869. shu

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Received: 2003-02-25
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Canonical Quantization of the Complex Scalar Field Coupled to the Abel Chern-Simons Term

Corresponding author: LONG Zheng-Wen,

Department of Physics,Guizhou University,Guiyang 550025,China2 College of Mathematics and Physics,Beijing Polytechnic University,Beijing 100022,China

Received Date: 2003-02-25
Accepted Date: 1900-01-01
Available Online: 2003-10-05

Abstract: The Faddeev-Jackiw quantization method is applied to the complex scalar field coupled to the Abel Chern-Si-mons term, the results agree with the results obtained by using Dirac method. It is shown that this method is quite straightforward and elegant for this system.