Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System

JIANG Yun-Guo; 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(12) : 1151-1155

Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System

JIANG Yun-Guo ,
HUANG Yong-Chang ^,

Institute of Theoretical Physics, College of Applied Mathematics and Physics,Beijing University of Technology, Beijing 100022, China2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China3 CCAST World Lab., Beijing 100080, China

Abstract
HTML
Reference
Related

PDF

Abstract：
According to the method of path integral quantization for the canonical constrained system in Faddeev-Senjanovic scheme, we quantize the supersymmetrical electrodynamic system in general situation, and obtain the generating functional of Green function. Another first class constraint is obtained by making the linear combination of several primary constraints, the generator of gauge transformation is constructed, gauge transformations of all the different fields are deduced. Utilizing the consistency equation of gauge fixing condition to deduce another gauge fixing condition, we find that the secondary constraint of the system is an Euler-Lagrange equation which is just the conversation law of electric charge. Thus, we do not need to calculate the other secondary constraints step by step, and get no new constraints naturally. So, the Faddeev-Senjanovic path integral quantization of the supersymmetrical electrodynamic system is simplified.

References

[1]

. Kushreshtha D S, Muller-Kirsten H J W. Phys. Rev., 1991,D43: 33762. Batalin I A, Bering K, Damgaard P H. Nucl. Phys., 1998,B515: 4553. Rupp C, Scharf R, Sibold K. Nucl. Phys., 2001, B612: 3134. Muller-Kirsten H J W, Wiedemann A. Supersymmetry-An Introduction with Conceptual and Calculational Details. Singapore: World Scientifc, 1987. 5475. Muller-Kirsten H J W, Wiedemann A. Supersymmetry-An Introduction with Conceptual and Calculational Details. Singapore: World Scientifc, 1987. 5466. Dirac P A M. Lecture on Quantum Mechanics. New York:Yeshiva University, 1964. 1-117. Dirac P A M. Lecture on Quantum Mechanics. New York:Yeshiva University, 1964. 98. LI Zi-Ping. Symmetries in Constrained Canonical System.Beijing: Science Press, 2002. 219. Dirac P A M. Lecture on Quantum Mechanics. New York:Yeshiva University, 1964. 1-1710. Castellani L. Ann. Phys.(NY), 1983, 144: 35711. Senjanovic P. Ann. Phys.(NY), 1976, 100: 22712. Costa M E V, Girotti H O, Simoes T J M. Phys. Rev.,1985, D32: 4013. LIAO Leng, HUANG Yong-Chang. HEP NP, 2006, 30:191(in Chinese)(廖棱, 黄永畅. 高能物理与核物理, 2006, 30: 191)

[1]	JI Xiang-Dong , MA Jian-Ping , YUAN Feng . QCD Factorization for Semi-inclusive Deep-Inelastic Scattering at Low Transverse Momentum. Chinese Physics C, 2007, 31(9): 857-859.
[2]	LIANG Xiao-Feng , CHEN Huan , CHANG Lei , LIU Yu-Xin . Dynamical Chiral Symmetry Breaking and Phase Transition of Cuprate Superconductors in QED₃. Chinese Physics C, 2007, 31(2): 209-218.
[3]	ZHU Qiao , YANG Zhan-Ying , SHI Kang-Jie , WEN Jun-Qing . Study of Solving a Toda Dynamic System with Loop Algebra. Chinese Physics C, 2006, 30(9): 838-843.
[4]	WU Jian-Feng , XUE Xun . Lorentz-Violating Electrodynamics Model. Chinese Physics C, 2006, 30(10): 950-955.
[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]	ZHU Qiao , YANG Zhan-Ying , SHI Kang-Ji . The Study on Generalized Toda Mechanics System with Loop Algebra L(D^r). Chinese Physics C, 2005, 29(1): 19-22.
[7]	LIU Wang-Yun , YANG Zhan-Ying , ZHAO Liu . Generalized Toda Mechanics Associated with Classical Lie Algebras D_r. Chinese Physics C, 2004, 28(4): 359-364.
[8]	LIU Bo , GUO Hua . Equation of State for the Thermal System of Nuclear Matter. Chinese Physics C, 2003, 27(7): 590-593.
[9]	LI Rui-Jie , LI Zi-Ping . Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term. Chinese Physics C, 2002, 26(4): 325-330.
[10]	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.
[11]	Shi Kangjie , Li Guangliang , Fan Heng , Hou Boyu . . Chinese Physics C, 1998, 22(12): 1100-1111.
[12]	Huang Weicheng , Ruan Dong . N=4 Supersymmetric Quantum Mechanics. Chinese Physics C, 1995, 19(9): 812-819.
[13]	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.
[14]	LI Fu-Bin . Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics. Chinese Physics C, 1992, 16(3): 212-218.
[15]	BIAN Jian-Guo . Non-Perturbative Propagators in QCD. Chinese Physics C, 1991, 15(11): 973-980.
[16]	KONG Fan-Xin , LUO Bin , LIU Xian-Hui . Dynamical Structure of A≤4 Λ Hypernuclei. Chinese Physics C, 1991, 15(6): 524-534.
[17]	LI Guang-Hua , HE Hui-Yong . THE U(90) DYNAMICAL SYMMETRY IN LIGHT NUCLEI. Chinese Physics C, 1990, 14(2): 164-170.
[18]	SUN Hong-Zhou , WANG Wei-Wei , ZHAO En-Guang , CHEN Sheng-Zhong . DYNAMICAL SUPERSYMMETRY U(36/24) IN LIGHT NUCLEI. Chinese Physics C, 1989, 13(3): 282-284.
[19]	SHEN Wen-Qing , QIAO Wei-Min , GE Ling-Xiao , ZHAN Wen-Long , ZHU Yong-Tai . DYNAMICS OF DISSIPATION COLLISION FOR LIGHT SYSTEM. Chinese Physics C, 1988, 12(1): 102-108.
[20]	KUANG YU-PING , YI YU-PING . DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1978, 2(6): 488-500.

Access

Get Citation

JIANG Yun-Guo and HUANG Yong-Chang. Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System[J]. Chinese Physics C, 2006, 30(12): 1151-1155.

JIANG Yun-Guo and HUANG Yong-Chang. Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System[J]. Chinese Physics C, 2006, 30(12): 1151-1155. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-03-06
Revised: 2006-04-12

Article Metric

Article Views(3542)
PDF Downloads(854)
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

Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System

JIANG Yun-Guo
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 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China3 CCAST World Lab., Beijing 100080, China

Received Date: 2006-03-06
Accepted Date: 2006-04-12
Available Online: 2006-12-05

Abstract: According to the method of path integral quantization for the canonical constrained system in Faddeev-Senjanovic scheme, we quantize the supersymmetrical electrodynamic system in general situation, and obtain the generating functional of Green function. Another first class constraint is obtained by making the linear combination of several primary constraints, the generator of gauge transformation is constructed, gauge transformations of all the different fields are deduced. Utilizing the consistency equation of gauge fixing condition to deduce another gauge fixing condition, we find that the secondary constraint of the system is an Euler-Lagrange equation which is just the conversation law of electric charge. Thus, we do not need to calculate the other secondary constraints step by step, and get no new constraints naturally. So, the Faddeev-Senjanovic path integral quantization of the supersymmetrical electrodynamic system is simplified.