Canonical Symmetry in a System with Singular Lagrangian and Ward Identities

Li Ziping

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> 1994, Vol. 18> Issue(8) : 694-701

Canonical Symmetry in a System with Singular Lagrangian and Ward Identities

Li Ziping ^,

Department of Applied Physics,Beijing Polytechnic University,Beijing 100022

Abstract
HTML
Reference
Related

PDF

Abstract：
An algorithm to construct the generator of gauge transformation for a constrained Hamiltonian system is given.The relationships among the coefficients connecting with first-class constraints in the generator is cleared.Based on the phase space generating functional,the corresponding Ward identities in canonical formalism is deduced.The preliminary applications of above results to a model in field theory which is functionally equivalent to the mixed Chern-Simons Lagrangian is discussed in detail.

References

[1]

P.A.M.Dirac,Lectureon Quantum Mechanics,1964,Yeshiva University Press,NewYork.[2]ZipingLi,Chin.Phys.Lett,10（1993）68.[3]ZiPingLi,Europhs.Lett,21（1993）141.[4]L.Castellani,Ann.Phys,（NY）,143（1982）357.[5]C.A.P.GalvaoandJ.B.T.Boechat J.Math.Phys,31（1990）448.[6]H.SuuraandB-L.Young, Phys.Rev,D8（1973）4353.[7]T.Lhallabi,Int.J.Theor.Phys,28（1989）875.[8]T.D.LeeandC.N.Yang,Phys.Rev,128（1962）885.[9]Tung sheng Tu,Hung chun Yin and Tunan Ruan,Nucl Phys,B164（1980）103.[10]李子平，经典和量子约束系统及其对称性质，北京工业大学出版社（1993）.[11]D.M.Gitman and I.v.Tyutin,Quantization of Fields with Constraints,1990,Springer-Verlag,Berlin.[12]Zi ping Li,J.Phys.A:Math.Gen,24（1991）4261.[13]R.Sugano,J.Math.Phys,30（1990）2337,[14]李子平，物理学报，41（1992）710.[15]Zi Ping Li,Int.J.Theor.Phys,26（1987）853.[16]D.Senechal,Phys.Lett,B297（1992）138.[17]邝宇平和易余萍，高能物理与核物理，4（1980）286.

[1]	WANG Jing , HUANG Yong-Chang . BRST Transformation Equivalence and Ward Identities of 1+1 Dimensional Non-linear σ Model. Chinese Physics C, 2004, 28(1): 17-21.
[2]	LONG Zheng-Wen , LI Zi-Ping . Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory. Chinese Physics C, 2004, 28(2): 134-139.
[3]	LI Zi-Ping . Non-local Quantal Noether Identities and Their Applications. Chinese Physics C, 2002, 26(12): 1214-1222.
[4]	LI Zi-Ping . Noether Identities at the Quantum Level. Chinese Physics C, 2002, 26(3): 230-238.
[5]	LI Rui-Jie , LI Zi-Ping . Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term. Chinese Physics C, 2002, 26(4): 325-330.
[6]	LI Zi-Ping , LI Rui-Jie . Generalized Ward Identities for Non-local Transformation. Chinese Physics C, 2002, 26(2): 122-128.
[7]	Wang Qing . Effective Lagrangian Theory. Chinese Physics C, 1999, 23(2): 155-164.
[8]	Li Ziping . Global Symmetry in Phase-Space Path Integral for a System With a Singular Lagrangian. Chinese Physics C, 1997, 21(1): 34-43.
[9]	Li Ziping . Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral. Chinese Physics C, 1996, 20(8): 698-702.
[10]	Li Ziping . Canonical Quantal Symmetry in a Dynamical System. Chinese Physics C, 1995, 19(11): 1012-1018.
[11]	Li Ziping . Canonical Ward Identities in Generalized QCD. Chinese Physics C, 1995, 19(5): 405-412.
[12]	SHEN Kun , QIU Zhong-Ping . Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(3): 208-214.
[13]	SHEN Kun , QIU Zhong-Ping . Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional SU(2) Four-fermi Model. Chinese Physics C, 1993, 17(1): 17-27.
[14]	SHEN Kun , QIU Zhong-Ping . Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1992, 16(1): 29-37.
[15]	LI Zi-Ping . THE GENERALIZED NOETHER'S IDENTITIES AND CONSERVED CHARGE. Chinese Physics C, 1988, 12(6): 782-785.
[16]	ZHANG Yue-Zhong . ON THE BOUNDARY CONDITION AND CANONICAL S-WAVE HAMILTIONIAN FOR THE DYON-FERMION SYSTEM——THE SURFACE LAGRANGIAN AND GAUGE INVARIANT CHARGE CURRENT. Chinese Physics C, 1986, 10(1): 15-23.
[17]	ZHANG Yue-Zhong . AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL. Chinese Physics C, 1985, 9(4): 430-436.
[18]	ZHOU Guang-Zhao , GUO Han-Ying , WU Ke , SONG Xing-Chang . SYMMETRICAL ANOMALY, UNSYMMETRICAL ANOMALY AND EFFECTIVE LAGRANGIAN. Chinese Physics C, 1984, 8(4): 508-512.
[19]	Kuang Yu-ping , Yi Yu-ping . WARD-TAKAHASHI IDENTITIES FOR GAUGE.GHOST FIELD PROPER VERTICES. Chinese Physics C, 1980, 4(3): 286-290.
[20]	ZHOU GUANG-ZHAO , SU ZHAO-BING . ON THE DYSON EQUATION AND THE WARD-TAKAHASHI IDENTITIES OF THE CLOSED TIME PATH GREEN'S FUNCTIONS. Chinese Physics C, 1979, 3(3): 314-326.

Access

Get Citation

Li Ziping. Canonical Symmetry in a System with Singular Lagrangian and Ward Identities[J]. Chinese Physics C, 1994, 18(8): 694-701.

Li Ziping. Canonical Symmetry in a System with Singular Lagrangian and Ward Identities[J]. Chinese Physics C, 1994, 18(8): 694-701. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2683)
PDF Downloads(493)
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 Symmetry in a System with Singular Lagrangian and Ward Identities

Li Ziping ^,

Corresponding author: Li Ziping,

Department of Applied Physics,Beijing Polytechnic University,Beijing 100022

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-08-05

Abstract: An algorithm to construct the generator of gauge transformation for a constrained Hamiltonian system is given.The relationships among the coefficients connecting with first-class constraints in the generator is cleared.Based on the phase space generating functional,the corresponding Ward identities in canonical formalism is deduced.The preliminary applications of above results to a model in field theory which is functionally equivalent to the mixed Chern-Simons Lagrangian is discussed in detail.