ON THE QUANTIZATION OF PURE GAUGE FIELDS ON COSET SPACE OF ABELIAN CHIRAL GROUP

JING Si-Cong; RUAN Tu-Nan

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> 1988, Vol. 12> Issue(6) : 773-781

ON THE QUANTIZATION OF PURE GAUGE FIELDS ON COSET SPACE OF ABELIAN CHIRAL GROUP

JING Si-Cong ^, ,
RUAN Tu-Nan

Center of Theoretical Physics,CCASTWorld Laboratoryand University of Science and Technology of China,Hefei1 University of Science and Technology of China,Hefei

Abstract
HTML
Reference
Related

PDF

Abstract：
Owing to the change of the path-integral measure for fermion fields under chiral transformation,an additional term (we called it the chiral anomalous term) is added to the action of generating functional of the pure gauge fields theories on coset space of Abelian chiral group.The path-integral quantization of this theory is realized and the invariance of the generating functional under B.R.S. transformation is restored with the aid of the chiral anomalous term.By using the functional derivative technique,the Ward identities are also deduced,which are quite consistent with the classical CVC and PCAC equations.

References

[1]	周光召、阮图南，理论粒子物理会议文集，广州(1980) 902,[2] K. Fujikawa, Phys. Rev. Lett, 42(1979), 1195.[3] 周光召、杜东生、阮图南，中国科学，22(1979)142,[4] V.N.Popov and L. D. Faddeev, Phys. Lett., 258(1967), 29.[5] 阮图南、井思聪，“规范理论生成泛函的联合不变性与手征反常项”，待发表、

[1]	LONG Zheng-Wen , CHEN Lin . Canonical Quantization of Complex Scalarfield Theory with Boundaries. Chinese Physics C, 2007, 31(1): 14-18.
[2]	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.
[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]	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.
[5]	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.
[6]	MIAO Yan-Gang . Path Integral Light-Cone Quantization of a Gauge Theory of Self-Dual Fields. Chinese Physics C, 1992, 16(7): 596-599.
[7]	JING Si-Cong , RUAN Jie . BJORKEN-JOHNSON-LOW TECHNIQUE AND PERTURBATION STUDY ON CHIRAL ANOMALY IN ABELIAN COSET PURE GAUGE FIELD THEORY. Chinese Physics C, 1990, 14(11): 991-1000.
[8]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[9]	BIAN Jian-Guo . A REAL-SPACE RENORMALIZATION-GROUP ANALYSIS FOR Z₂ LATTICE GAUGE THEORY COUPLED TO A HIGGS FIELD. Chinese Physics C, 1989, 13(1): 29-34.
[10]	LIU Bao-Hua , LI Jia-Rong . MEAN-FIELD THEORY AND RESTORATION OF CHIRAL SYMMETRY. Chinese Physics C, 1988, 12(6): 848-851.
[11]	CHEN Ren . STOCHASTIC QUANTIZATION WITH SPIN 3/2 FIELD. Chinese Physics C, 1987, 11(2): 157-163.
[12]	RUAN Tu-Nan , LIU Zu-Wei , JING Si-Cong . CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF A NON-ABELIAN CHIRAL GROUP. Chinese Physics C, 1984, 8(2): 158-166.
[13]	RUAN Tu-Nan , JING Si-Cong , LIU Zu-Wei . CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF AN ABELIAN CHIRAL GROUP. Chinese Physics C, 1984, 8(1): 25-33.
[14]	RUAN Tu-Nan , JING Si-Cong , LIU Zu-Wei . LATTICE FORMULATION OF THE PURE GAUGE FIELDS ON COSET SPACE. Chinese Physics C, 1983, 7(5): 550-559.
[15]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS(Ⅱ)——SPONTANEOUSLY BROKEN GAUGE FIELDS. Chinese Physics C, 1979, 3(1): 52-59.
[16]	YAN MU-LIN , BAO XI-MING , ZHAO BAO-HENG . CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD. Chinese Physics C, 1979, 3(5): 582-594.
[17]	Lee Hua-chung , Kuo Shuo-hung , Hsien Ting-chang . ON THE PROBLEM OF THE DUAL CHARGE (MAGNETIC MONOPOLE) OF NON-ABELLAN GROUPS (Ⅱ). Chinese Physics C, 1978, 2(1): 23-34.
[18]	YUAN TU-NAN , TU TUNG-SHENG . STRONG INTERACTION AND CHIRAL GAUGE FIELD. Chinese Physics C, 1978, 2(6): 481-487.
[19]	GU CHAO-HAO . THE U₁ GAUGE FIELD IN A SU_N GAUGE FIELD AND THE QUANTIZED VALUES OF DUAL CHARGES. Chinese Physics C, 1978, 2(4): 295-304.
[20]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.

Access

Get Citation

JING Si-Cong and RUAN Tu-Nan. ON THE QUANTIZATION OF PURE GAUGE FIELDS ON COSET SPACE OF ABELIAN CHIRAL GROUP[J]. Chinese Physics C, 1988, 12(6): 773-781.

JING Si-Cong and RUAN Tu-Nan. ON THE QUANTIZATION OF PURE GAUGE FIELDS ON COSET SPACE OF ABELIAN CHIRAL GROUP[J]. Chinese Physics C, 1988, 12(6): 773-781. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2501)
PDF Downloads(466)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

ON THE QUANTIZATION OF PURE GAUGE FIELDS ON COSET SPACE OF ABELIAN CHIRAL GROUP

JING Si-Cong ^,
RUAN Tu-Nan

Corresponding author: JING Si-Cong,

Center of Theoretical Physics,CCASTWorld Laboratoryand University of Science and Technology of China,Hefei1 University of Science and Technology of China,Hefei

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-12-05

Abstract: Owing to the change of the path-integral measure for fermion fields under chiral transformation,an additional term (we called it the chiral anomalous term) is added to the action of generating functional of the pure gauge fields theories on coset space of Abelian chiral group.The path-integral quantization of this theory is realized and the invariance of the generating functional under B.R.S. transformation is restored with the aid of the chiral anomalous term.By using the functional derivative technique,the Ward identities are also deduced,which are quite consistent with the classical CVC and PCAC equations.