ON THE GAUGE INVARIANCE OF WESS-ZUMINO-WITTEN EFFECTIVE ACTION

ZHOU Guang-Zhao; GUO Han-Ying; WU Ke; SONG Xing-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> 1984, Vol. 8> Issue(2) : 252-256

ON THE GAUGE INVARIANCE OF WESS-ZUMINO-WITTEN EFFECTIVE ACTION

Abstract
HTML
Reference
Related

PDF

Abstract：
It is shown that in order to introduce the gauge invariant Wess-Zumino-Witten effective action a global anomalyfree condition should be satisfied by the gauged subgroup of SU(3)_L×SU(3)_R. The condition requires that the left handed and the right handed Chern-Simons 5-forms with respect to the gauge group be equal to each other and it turns out in the local sense to be the usual perturbative anomaly-free condition. It is also constructed a gauge invariant effective action under the anomaly-free condition by means of a systematic method rather than the trial and error Noether method. In the non-abelian case, the gauge invariant effective action presented here contains less terms than the one obtained by Witten. The case of pure gauge is discussed in the present note as well.
References

[1] E. WTitten "Global Aspects of Current Algebra", Princeton Preprint (1983).[2] J. Wess and B. Zumino, Phys. Lett., 37B(1971),95.

[1]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[2]	Wang Deyun , Huang Bowen . Solve for Energy Spectrum and Function of Ring-Shaped Oscillator by Using Supersymmetry and Shape Invariance. Chinese Physics C, 1999, 23(11): 1078-1082.
[3]	Ren Xuezao , Zhu Yunlun , Chen Ying . Analytical study of Lattice U(1) and U(1)-Higgs Models at Finite Temperature With Symanzik Action. Chinese Physics C, 1998, 22(6): 492-498.
[4]	Yang FuZhong , Hou Boyuan , Ma Zhongqi . Modified Seiberg-Witten Monopole Equations on Three-Manifold. Chinese Physics C, 1998, 22(12): 1112-1118.
[5]	Zhao Peiying , Wu Jimin . Phase Structure of U(1) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action. Chinese Physics C, 1996, 20(2): 124-130.
[6]	Bian Jianguo . Discussion on the Translational Invariance of the Quark and Mixed Condensates. Chinese Physics C, 1994, 18(6): 534-540.
[7]	LIU Jin-Ming , GONG Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(2): 128-133.
[8]	SUN Chang-Pu , PAN Lin , GE Mo-Lin . Effective topological action in Heisenberg spin model as Berry's phase. Chinese Physics C, 1992, 16(3): 202-207.
[9]	Hou Boyu , Shi Kangjie , Yue Ruihong . The Crossing Matrices and Correlation Function of SU_K(2) Wess-Zumino-Witten Model with Fractional Level. Chinese Physics C, 1992, 16(S2): 163-172.
[10]	HOU Bo-Yu , SHI Kang-Jie , YUE Rui-Hong . The Crossing Matrices and Correlation Function in Nonunitary SU_K(2) Wess-Zumino-Witten Model. Chinese Physics C, 1992, 16(5): 414-422.
[11]	SUN Chang-Pu . TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS. Chinese Physics C, 1990, 14(8): 692-699.
[12]	WU Ji-Min . ON THE CHOICE OF THE TRIAL ACTION IN VARIATIONAL CUMULANT EXPANSION APPROACH ON LATTICE. Chinese Physics C, 1989, 13(9): 789-795.
[13]	LI Wen-Zhu , ZHANG Jian-Bo . VARIATIONAL ANALYSIS OF CUMULANT EXPANSION IN SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1988, 12(5): 608-615.
[14]	GAO Hong-Bo , SUN Yi . THE LOCALLY PRODUCT STRUCTURE OF INTERNAL SPACE AND SOME OF THE PROPERTIES IN HETEROTIC STRING ACTION. Chinese Physics C, 1987, 11(5): 614-619.
[15]	LI Wen-Zhu , ZHANG Jian-Bo , DONG Shao-Jing . MONTE CARLO STUDY OF SU(2) GROUP SPACE DECIMATION EFFECTIVE ACTION. Chinese Physics C, 1987, 11(4): 462-468.
[16]	GU Jin-Nan . THE R(π/2) INVARIANCE OF NUCLEI. Chinese Physics C, 1986, 10(2): 223-230.
[17]	CHEN Tian-Lun , SUO Cun-Chuan . VARIATIONAL ANALYSIS OF PHASE STRUCTURE OF THE SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1986, 10(2): 158-163.
[18]	HUANG Tao , XIE Yi-Cheng . A PHYSICAL CONSEQUENCE OF THE GAUGE INVARIANCE IN THE PROCESS π⁰→γγ. Chinese Physics C, 1985, 9(4): 437-441.
[19]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONAL SU(5) LATTICE GAUGE THEORY. Chinese Physics C, 1985, 9(1): 34-40.
[20]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF SU(3) LATTICE GAUGE THEORY FOR TWO ALTERANTIVE ACTIONS. Chinese Physics C, 1985, 9(4): 502-504.

Access

Get Citation

ZHOU Guang-Zhao, GUO Han-Ying, WU Ke and SONG Xing-Chang. ON THE GAUGE INVARIANCE OF WESS-ZUMINO-WITTEN EFFECTIVE ACTION[J]. Chinese Physics C, 1984, 8(2): 252-256.

ZHOU Guang-Zhao, GUO Han-Ying, WU Ke and SONG Xing-Chang. ON THE GAUGE INVARIANCE OF WESS-ZUMINO-WITTEN EFFECTIVE ACTION[J]. Chinese Physics C, 1984, 8(2): 252-256. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2650)
PDF Downloads(503)
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

ON THE GAUGE INVARIANCE OF WESS-ZUMINO-WITTEN EFFECTIVE ACTION

Corresponding author: ZHOU Guang-Zhao,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-04-05

Abstract: It is shown that in order to introduce the gauge invariant Wess-Zumino-Witten effective action a global anomalyfree condition should be satisfied by the gauged subgroup of SU(3)_L×SU(3)_R. The condition requires that the left handed and the right handed Chern-Simons 5-forms with respect to the gauge group be equal to each other and it turns out in the local sense to be the usual perturbative anomaly-free condition. It is also constructed a gauge invariant effective action under the anomaly-free condition by means of a systematic method rather than the trial and error Noether method. In the non-abelian case, the gauge invariant effective action presented here contains less terms than the one obtained by Witten. The case of pure gauge is discussed in the present note as well.