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

Jing Sicong; and Ruan Tunan

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《中国物理C》（英文）编辑部

2024年10月30日

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

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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.

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[8]	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.
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[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.

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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

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Received: 1987-10-04

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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.