BJORKEN-JOHNSON-LOW TECHNIQUE AND PERTURBATION STUDY ON CHIRAL ANOMALY IN ABELIAN COSET PURE GAUGE FIELD THEORY

JING Si-Cong; RUAN Jie

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2024年10月30日

Chinese Physics C> 1990, Vol. 14> Issue(11) : 991-1000

BJORKEN-JOHNSON-LOW TECHNIQUE AND PERTURBATION STUDY ON CHIRAL ANOMALY IN ABELIAN COSET PURE GAUGE FIELD THEORY

JING Si-Cong ^, ,
RUAN Jie

Department of Modern Physics,University of Science and Technology of China,Hefei

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Abstract：
The perturbation theory in coset pure gauge field theory is studied for the first time in this paper.By using the Bjorken-Johnson-Low technique and calculating the Schwinger term in related commutators,the anomalous Ward identity in Abelian coset pure gauge field theory is derived,which is consistent with the non-perturbative calculation.

References

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Faddeev L.D. and Shatashvili S.L., Phys. Lett., 167B (1986)，225.[2] 周光召，杜东生，阮图南，中国科学，22(1979)，142,[3] 井思聪，阮图南，高能物理与核物理，12(1988)，773.[4] 阮图南，井思聪，中国科学，A12(1987),1273.[5] J.D. Bjorken, Phys.Rev., D148(1966),1467;K.Johnson and F.E.Low, Prog. Theoret. Phys., (Kyoto) Suppl 37-38(1966)，74.[6] Dac Sung Hwang, Nucl.Phys., B286(1987),231.S-G. Jo, Nucl.Phys., B259(1985),616;Phys.Lett., 163B (1985)，353; Phys.Rev., D35(1987),3179.[7] P.A.M.Dirac,《狄拉克量子力学演讲集》，(中译本)科学出版社，北京1986.[8] 阮洁，井思聪，高能物理与核物理，14(1990)， 882,[9] David Lurie,《粒子和场》，(中译本)科学出版社，北京1981.

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JING Si-Cong and RUAN Jie. BJORKEN-JOHNSON-LOW TECHNIQUE AND PERTURBATION STUDY ON CHIRAL ANOMALY IN ABELIAN COSET PURE GAUGE FIELD THEORY[J]. Chinese Physics C, 1990, 14(11): 991-1000.

JING Si-Cong and RUAN Jie. BJORKEN-JOHNSON-LOW TECHNIQUE AND PERTURBATION STUDY ON CHIRAL ANOMALY IN ABELIAN COSET PURE GAUGE FIELD THEORY[J]. Chinese Physics C, 1990, 14(11): 991-1000. 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

BJORKEN-JOHNSON-LOW TECHNIQUE AND PERTURBATION STUDY ON CHIRAL ANOMALY IN ABELIAN COSET PURE GAUGE FIELD THEORY

JING Si-Cong ^,
RUAN Jie

Corresponding author: JING Si-Cong,

Department of Modern Physics,University of Science and Technology of China,Hefei

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-11-05

Abstract: The perturbation theory in coset pure gauge field theory is studied for the first time in this paper.By using the Bjorken-Johnson-Low technique and calculating the Schwinger term in related commutators,the anomalous Ward identity in Abelian coset pure gauge field theory is derived,which is consistent with the non-perturbative calculation.