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

JING Si-Cong; RUAN Tu-Nan

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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

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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、

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[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.

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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

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

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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.