Quantization of Pure Gauge Fields on Coset Space of Abelian Chiral Group

Jing Sicong; and Ruan Tunan

Chinese Physics C> 1988, Vol. 12> Issue(S4) : 347-358

Quantization of Pure Gauge Fields on Coset Space of Abelian Chiral Group

Jing Sicong ¹ ,
and Ruan Tunan ²

1 Center of Theoretical Physics, CCAST(Worid Laboratory), Department of Physics, University of Science and Technology of China, Hefei;
2 Department of Physics, University of Science and Technology of China, Hefei

Abstract
HTML
Reference
Related

PDF

Abstract：
Due to the change of the path-integral measure for fermion fields under chiral transformation, an extra term (chiral anomalous term) is added to the action of the generating functional for the coset pure gauge field theory of Abelian chiral group. The path-integral quantization of this theory is realized and the BRS invariance of the generating functional is restored with the aid of a chiral anomalous term. Ward identities, consistent with the classical PCAC equations, are also deduced by using the functional derivative technique.

[1]	S. Parsamehr , M. Mohsenzadeh . Gauge theory of massless spin-(3/2) field in de Sitter space-time. Chinese Physics C, 2016, 40(11): 113102. doi: 10.1088/1674-1137/40/11/113102
[2]	HAN Lei , WANG Hai-Jun . New method of applying conformal group to quantum fields. Chinese Physics C, 2015, 39(9): 093102. doi: 10.1088/1674-1137/39/9/093102
[3]	CHU Yan-Jun , HUANG Fang , ZHENG Zhu-Jun . A result on certain coset subalgebras of the βγ-system. Chinese Physics C, 2011, 35(2): 149-152. doi: 10.1088/1674-1137/35/2/008
[4]	LI Xin , CHANG Zhe , MO Xiao-Huan . Symmetries in a very special relativity and isometric group of Finsler space. Chinese Physics C, 2011, 35(6): 535-538. doi: 10.1088/1674-1137/35/6/004
[5]	WANG Fan , CHEN Xiang-Song , LU Xiao-Fu , SUN Wei-Min . Gauge invariance and quantization applied to atom and nucleon internal structure. Chinese Physics C, 2010, 34(9): 1312-1319. doi: 10.1088/1674-1137/34/9/031
[6]	BAO Ai-Dong , YAO Hai-Bo , WU Shi-Shu . Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED). Chinese Physics C, 2009, 33(3): 177-180. doi: 10.1088/1674-1137/33/3/003
[7]	YANG Jin-Long , HUANG Yong-Chang . Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields. Chinese Physics C, 2008, 32(10): 788-792. doi: 10.1088/1674-1137/32/10/004
[8]	Wang Renchuan , Zhu Dongpei . Quantization of Interacting Fields in QED. Chinese Physics C, 1994, 18(S4): 357-366.
[9]	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.
[10]	Jing Sicong , Ruan Jie . Bjorken-Johnson-Low Technique and a Perturbative Study on Chiral Anomaly in Pure Abelian Coset Gauge Field Theory. Chinese Physics C, 1991, 15(S2): 141-152.
[11]	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.
[12]	Luo Xiangqian , Chen Qizhou , Guo Shuohong . Vacuum State of 2+1 Dimensional SU(2) Lattice Gauge Theory With Fermions and Spontaneous Chiral Symmetry Breaking. Chinese Physics C, 1989, 13(S2): 157-164.
[13]	Zhang Guangyuan , Cai Weicheng , Li Xinzhou . Fermion Fields in Soliton Background of Six-dimensional Pure Kaiuza-Klein Theories. Chinese Physics C, 1988, 12(S2): 159-164.
[14]	Xu Kaiwen . Covariant and Quantization of Spinning String in M_d × G Space Time. Chinese Physics C, 1988, 12(S2): 143-152.
[15]	JING Si-Cong , RUAN Tu-Nan . ON THE QUANTIZATION OF PURE GAUGE FIELDS ON COSET SPACE OF ABELIAN CHIRAL GROUP. Chinese Physics C, 1988, 12(6): 773-781.
[16]	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.
[17]	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.
[18]	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.
[19]	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.
[20]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS(Ⅱ)——SPONTANEOUSLY BROKEN GAUGE FIELDS. Chinese Physics C, 1979, 3(1): 52-59.

Access

Get Citation

Jing Sicong and and Ruan Tunan. Quantization of Pure Gauge Fields on Coset Space of Abelian Chiral Group[J]. Chinese Physics C, 1988, 12(S4): 347-358.

Jing Sicong and and Ruan Tunan. Quantization of Pure Gauge Fields on Coset Space of Abelian Chiral Group[J]. Chinese Physics C, 1988, 12(S4): 347-358. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1987-10-04

Article Metric

Article Views(567)
PDF Downloads(2)
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

Quantization of Pure Gauge Fields on Coset Space of Abelian Chiral Group

Jing Sicong ^1,
and Ruan Tunan ^2,

1 Center of Theoretical Physics, CCAST(Worid Laboratory), Department of Physics, University of Science and Technology of China, Hefei;
2 Department of Physics, University of Science and Technology of China, Hefei

Received Date: 1987-10-04

Abstract: Due to the change of the path-integral measure for fermion fields under chiral transformation, an extra term (chiral anomalous term) is added to the action of the generating functional for the coset pure gauge field theory of Abelian chiral group. The path-integral quantization of this theory is realized and the BRS invariance of the generating functional is restored with the aid of a chiral anomalous term. Ward identities, consistent with the classical PCAC equations, are also deduced by using the functional derivative technique.