Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory

LONG Zheng-Wen; LI Zi-Ping

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]	BAO Jing-Dong . Simulating Methods in Nuclear Reaction Dynamics. Chinese Physics C, 2006, 30(S2): 24-28.
[2]	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.
[3]	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.
[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]	Jiang Weizhou , Qiu Xijun . Density Effects on the Fermion and the Scalar and Pseudoscalar Mesons in the QCD-Like Gauged NJL Model. Chinese Physics C, 1999, 23(5): 481-488.
[7]	Li Ziping . Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral. Chinese Physics C, 1996, 20(8): 698-702.
[8]	Li Ziping . Generalization of the Noether's Identities and Application. Chinese Physics C, 1995, 19(4): 320-326.
[9]	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.
[10]	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.
[11]	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.
[12]	Li Ziping . Canonical Ward Identities in Generalized QCD. Chinese Physics C, 1995, 19(5): 405-412.
[13]	Li Ziping . Canonical Symmetry in a System with Singular Lagrangian and Ward Identities. Chinese Physics C, 1994, 18(8): 694-701.
[14]	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.
[15]	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.
[16]	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.
[17]	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.
[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(2916)
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.