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

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

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

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

Abstract
HTML
Reference
Related

PDF

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

[1]	HUO Qiu-Hong , JIANG Yun-Guo , WANG Ru-Zhi , YAN Hui . Anomalous spin of the Chern-Simons-Georgi-Glashow model. Chinese Physics C, 2013, 37(4): 043104. doi: 10.1088/1674-1137/37/4/043104
[2]	WANG Ke , JIANG Yun-Guo , HUO Qiu-Hong . Quantal symmetries in the non-linear σ model with Maxwell and non-Abelian Chern-Simons terms. Chinese Physics C, 2010, 34(5): 535-538. doi: 10.1088/1674-1137/34/5/003
[3]	LONG Zheng-Wen , CHEN Lin . Canonical Quantization of Complex Scalarfield Theory with Boundaries. Chinese Physics C, 2007, 31(1): 14-18.
[4]	JIANG Yun-Guo , HUANG Yong-Chang . Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System. Chinese Physics C, 2006, 30(12): 1151-1155.
[5]	LIAO Ling , HUANG Yong-Chang . Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory. Chinese Physics C, 2006, 30(3): 191-195.
[6]	WANG Yong-Long , LI Zi-Ping . Symmetries in the Non-linear Sigma Model with Maxwell-Chern-Simons Term. Chinese Physics C, 2004, 28(7): 696-698.
[7]	LI Rui-Jie , LI Zi-Ping . Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term. Chinese Physics C, 2002, 26(4): 325-330.
[8]	SONG Jian-Jun , LI Xi-Guo . Trace Formula and Periodic Orbits Quantization for Two-Dimensional Integrable System. Chinese Physics C, 2001, 25(10): 958-963.
[9]	Jiang Jinhuan , Li Ziping . Quantization of a Scalar QED With Chern-Simons Term in the Batalin-Fradkin-Vilkovisky Scheme. Chinese Physics C, 1999, 23(8): 784-789.
[10]	Zhang Zhihe , Li Ziping . Casimir Effect of the Maxwell- Chern-Simons Field. Chinese Physics C, 1998, 22(1): 87-91.
[11]	Wang Renchuan , Zhu Dongpei . On the Quantization of Interacting Fields in QED. Chinese Physics C, 1994, 18(11): 1012-1019.
[12]	Miao Yangang , Liu Yaoyang . Faddeev-Jackiw Quantitation of a Theory of Self-Dual Fields Interacting with Gauge Fields. Chinese Physics C, 1994, 18(1): 58-61.
[13]	Guo Shuohong , Fang Xiyan . Quantization of Lattice Chern-Simons Theory. Chinese Physics C, 1994, 18(8): 706-714.
[14]	JING Si-Cong , RUAN Tu-Nan . ON THE QUANTIZATION OF PURE GAUGE FIELDS ON COSET SPACE OF ABELIAN CHIRAL GROUP. Chinese Physics C, 1988, 12(6): 773-781.
[15]	CHEN Ren . STOCHASTIC QUANTIZATION WITH SPIN 3/2 FIELD. Chinese Physics C, 1987, 11(2): 157-163.
[16]	ZHOU Guang-Zhao , WU Yue-Liang , XIE Yan-Bo . THE GENERAL CHERN-SIMONS COCHAIN AND THEIR APPLICATION. Chinese Physics C, 1986, 10(2): 177-185.
[17]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS(Ⅱ)——SPONTANEOUSLY BROKEN GAUGE FIELDS. Chinese Physics C, 1979, 3(1): 52-59.
[18]	YAN MU-LIN , BAO XI-MING , ZHAO BAO-HENG . CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD. Chinese Physics C, 1979, 3(5): 582-594.
[19]	GU CHAO-HAO . THE U₁ GAUGE FIELD IN A SU_N GAUGE FIELD AND THE QUANTIZED VALUES OF DUAL CHARGES. Chinese Physics C, 1978, 2(4): 295-304.
[20]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2678)
PDF Downloads(634)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.