Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory

LIAO Ling; HUANG Yong-Chang

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> 2006, Vol. 30> Issue(3) : 191-195

Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory

LIAO Ling ,
HUANG Yong-Chang ^,

Institute of Theoretical Physics, College of Applied Mathematics and Physics, Beijing University of Technology, Beijing 100022, China2 CCAST World Lab., Beijing 100080, China

Abstract
HTML
Reference
Related

PDF

Abstract：
A new symplectic Lagrangian density and Faddeev-Jackiw (FJ) generalized brackets of the gauge invariant self-dual fields interacting with gauge fields have been obtained and FJ quantization of this system has been presented. Furthermore, the FJ method is compared with Dirac method and the results indicate that the two methods are equivalent in the quantization of this system. After analizing, it can be found in this paper that the FJ method is really simpler than the Dirac method, namely, the FJ method obviates the need to distinguish primary and secondary constraints and the first- and the second-class constraints. Therefore, the FJ method is a more economical and effective method of quantization.

References

[1]

. Marc Henneaux, Claudio Teitelboim. Quantization ofGauge Systems. Princeton, New Jersey: Princeton University Press, 19922. Gitman D M, Tyutin I V. Quantization of Fields with Con-straints. Berlin: Springer-Verlag, 19903. Dirac P A M. Lectures on Quantum Mechanics. New York:Yeshiva University, 19644. Floreanini R, Jackiw R. Phys. Rev. Lett., 1987, 59: 18735. Faddeev L, Jackiw R. Phys. Rev. Lett., 1988, 60: 16926. Wotzasek C. Mod. Phys. Lett., 1993, A8: 25097. Barcelos-Neto J,Wotzasek C. Int. J. Mod. Phys., 1992, A7:49818. Montani H, Wotzasek C. Mod. Phys. Lett., 1993, A8: 33879. Labastid J M F, Pernici M. Phys. Rev. Lett., 1987, 59:251110. Siegel W. Phys. Rev., 1992, D46: R323711. Clark T E, Nitta M, Veldhuis T T. Phys. Rev., 2004, D70:12501112. Mezincescu L, Nepomechie R I. Phys. Rev., 1988, D37:306713. Glosh S, Mitra P. Phys. Rev., 1991, D44: 133214. Bellucci S, Golterman M F L, Petcher D N. Nucl. Phys.,1989, B326: 30715. Harada K. Phys. Rev. Lett., 1990, 64: 13916. Frishiman Y, Sonnenschein J. Nucl. Phys., 1988, B301:34617 MIAO Yan-Gang.Acta Phys.Sin.,1993, 42: 53618 WANG Jing, HUANG Yong-Chang. HEP NP, 2004,28:17(in Chinese)(王晶,黄永畅.高能物理与核物理,2004, 28:17)

[1]	YANG Jin-Long , HUANG Yong-Chang . Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields. Chinese Physics C, 2008, 32(10): 788-792. doi: 10.1088/1674-1137/32/10/004
[2]	LONG Zheng-Wen , CHEN Lin . Canonical Quantization of Complex Scalarfield Theory with Boundaries. Chinese Physics C, 2007, 31(1): 14-18.
[3]	JIANG Yun-Guo , HUANG Yong-Chang . Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System. Chinese Physics C, 2006, 30(12): 1151-1155.
[4]	LONG Zheng-Wen , LIU Bo , LI Zi-Ping . Canonical Quantization of the Complex Scalar Field Coupled to the Abel Chern-Simons Term. Chinese Physics C, 2003, 27(10): 866-869.
[5]	Wang Renchuan , Zhu Dongpei . On the Quantization of Interacting Fields in QED. Chinese Physics C, 1994, 18(11): 1012-1019.
[6]	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.
[7]	MIAO Yan-Gang . Extension of the Linear Self-Dual Constraint Theory and Its Quantization. Chinese Physics C, 1993, 17(7): 626-630.
[8]	MIAO Yan-Gang . Path Integral Light-Cone Quantization of a Gauge Theory of Self-Dual Fields. Chinese Physics C, 1992, 16(7): 596-599.
[9]	SUN Yi , JING Si-Cong , RUAN Tu-Nan . QUANTIZATION OF BOSON STRING WITH WEYL ORDERING. Chinese Physics C, 1989, 13(5): 411-418.
[10]	YU Yue . SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM. Chinese Physics C, 1989, 13(1): 92-96.
[11]	YU Yue , GUO Han-Ying . ON GEOMETRIC QUANTIZATION FOR BOSONIC STRING (Ⅱ). Chinese Physics C, 1989, 13(6): 503-511.
[12]	YU Yue , GUO Han-Ying . ON GEOMETRIC QUANTIZATION FOR THE BOSONIC STRINGS(1). Chinese Physics C, 1989, 13(5): 419-428.
[13]	XU Kai-Wen . COVARIANT AND QUANTIZATION OF SPINNING STRING IN M_d×G SPACE-TIME. Chinese Physics C, 1988, 12(3): 315-323.
[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]	CHEN Hao , GUO Shuo-Hong . ADLER-BELL-JACKIW ANOMALY IN LATTICE GAUGE THEORY. Chinese Physics C, 1986, 10(6): 666-676.
[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]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.
[20]	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.

Access

Get Citation

LIAO Ling and HUANG Yong-Chang. Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory[J]. Chinese Physics C, 2006, 30(3): 191-195.

LIAO Ling and HUANG Yong-Chang. Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory[J]. Chinese Physics C, 2006, 30(3): 191-195. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2005-05-14
Revised: 1900-01-01

Article Metric

Article Views(2825)
PDF Downloads(632)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory

LIAO Ling
HUANG Yong-Chang ^,

Corresponding author: HUANG Yong-Chang,

Institute of Theoretical Physics, College of Applied Mathematics and Physics, Beijing University of Technology, Beijing 100022, China2 CCAST World Lab., Beijing 100080, China

Received Date: 2005-05-14
Accepted Date: 1900-01-01
Available Online: 2006-03-05

Abstract: A new symplectic Lagrangian density and Faddeev-Jackiw (FJ) generalized brackets of the gauge invariant self-dual fields interacting with gauge fields have been obtained and FJ quantization of this system has been presented. Furthermore, the FJ method is compared with Dirac method and the results indicate that the two methods are equivalent in the quantization of this system. After analizing, it can be found in this paper that the FJ method is really simpler than the Dirac method, namely, the FJ method obviates the need to distinguish primary and secondary constraints and the first- and the second-class constraints. Therefore, the FJ method is a more economical and effective method of quantization.