Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory

LONG Zheng-Wen; 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> 2004, Vol. 28> Issue(2) : 134-139

Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory

LONG Zheng-Wen ^, ,
LI Zi-Ping

Department of Physics,Guizhou University,Guiyang 550025,China2 Department of Applied Physics,Beijing Polytechnic University,Beijing 100022,China

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on theory of constrained Hamiltonian system, the Faddeev-Senjanovic Path-integral quantization for studying the quantization of Conwall-Norton and Jackiw-Johnson models were reexamined, the canonical Ward identities were derived. The mass spectra of both fermion and bound states were also obtained, which is in agreement with that results obtained by using another method.

References

[1]

.Cornwall J M,Norton R E.Phys.Rev.,1973,D8: 3338-33462.Jackiw R,Johnson K.Phys.Rev.,1973,D8: 2386-23983.Nambu Y,Jona2Lasino G.Phys.Rev.,1961,122: 345-358; 1961,124: 246-2544.SHEN Kun,KUANG Yu2Ping.Phys.Rev.,1998,D57: 6386-63975.SHEN Kun,QIU Zhong2Ping.Phys.Rev.,1992,D45: 3877-38796.SHEN Kun,QIU Zhong2Ping.Phys.Rev.,1993,D48: 1801-18077.Baruch Rosoenstein,Brain J.Warr.Phys.Lett.,1989,B219: 469-4738.Eichten Est ia J,Feinberg Frank L.Phys.Rev.,1974,D10: 3254-32799.Heinz Pagels.Phys.Rev.,1980,D21: 2336-234710.Cornwall JohnM,Jackiw R,Tomboul is E.Phys.Rev.,1974,D10:2428-244511.Lee T D,YANG C N.Phys.Rev.,1962,128: 885-89812.Schwinger J.Phys.Rev.,1962,125: 397) 398; 1962,128: 2425-242913.LI Z P.High Energy Phys.and Nucl.Phys.,1994,18: 265-27314.LI Z P.High Energy Phys.and Nucl.Phys.,1995,19: 405-412(in Chinese)(李子平.高能物理与核物理,1995,19: 405-412)15.LI Z P.High Energy Phys.and Nucl.Phys.,2002,26: 122-128(in Chinese)(李子平.高能物理与核物理,2002,26: 122-128)16.LI Z P.High Energy Phys.and Nucl.Phys.,2002,26: 230-238(in Chinese)(李子平.高能物理与核物理,2002,26: 230-238)17.LI Z P.Int.J.Theor.Phys.,1995,34: 523-54318.LI Z P.Z.Phys.,1997,C76: 181-18919.FaddeevL D.Theor.Math.Phys.,1970,1:1-620.Senjanovic P.Ann.Phys.,1976,100: 227-233

[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 , 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.
[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 Zi-Ping , LI Rui-Jie . Generalized Ward Identities for Non-local Transformation. Chinese Physics C, 2002, 26(2): 122-128.
[6]	Li Ziping . Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral. Chinese Physics C, 1996, 20(8): 698-702.
[7]	Li Ziping . Generalization of the Noether's Identities and Application. Chinese Physics C, 1995, 19(4): 320-326.
[8]	Guo Hua , Wang Shunjin . Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical Form (Ⅲ) Equal Time Limit and Two-bodyCorrelation Dynamics. Chinese Physics C, 1995, 19(5): 455-467.
[9]	Wang Shunjin , Guo Hua . Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical form (Ⅰ) Equations of Motion for Correlation Green's Functions. Chinese Physics C, 1995, 19(3): 270-277.
[10]	Wang Shunjin , Guo Hua . Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical Form (Ⅱ) Gauge Constrained Conditions. Chinese Physics C, 1995, 19(4): 332-339.
[11]	Li Ziping . Canonical Ward Identities in Generalized QCD. Chinese Physics C, 1995, 19(5): 405-412.
[12]	Li Ziping . Canonical Symmetry in a System with Singular Lagrangian and Ward Identities. Chinese Physics C, 1994, 18(8): 694-701.
[13]	QIU Rong . The Identity and Renormalization of Pure Gauge Fields in Coset Space of Abelian Chiral Group. Chinese Physics C, 1993, 17(3): 227-240.
[14]	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.
[15]	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.
[16]	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.
[17]	LI Zi-Ping . THE GENERALIZED NOETHER'S IDENTITIES AND CONSERVED CHARGE. Chinese Physics C, 1988, 12(6): 782-785.
[18]	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.
[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

LONG Zheng-Wen and LI Zi-Ping. Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory[J]. Chinese Physics C, 2004, 28(2): 134-139.

LONG Zheng-Wen and LI Zi-Ping. Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory[J]. Chinese Physics C, 2004, 28(2): 134-139. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-04-14
Revised: 1900-01-01

Article Metric

Article Views(2855)
PDF Downloads(651)
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 Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory

LONG Zheng-Wen ^,
LI Zi-Ping

Corresponding author: LONG Zheng-Wen,

Department of Physics,Guizhou University,Guiyang 550025,China2 Department of Applied Physics,Beijing Polytechnic University,Beijing 100022,China

Received Date: 2003-04-14
Accepted Date: 1900-01-01
Available Online: 2004-02-05

Abstract: Based on theory of constrained Hamiltonian system, the Faddeev-Senjanovic Path-integral quantization for studying the quantization of Conwall-Norton and Jackiw-Johnson models were reexamined, the canonical Ward identities were derived. The mass spectra of both fermion and bound states were also obtained, which is in agreement with that results obtained by using another method.