THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS

RUAN Jie; JING Si-Cong

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2024年10月30日

Chinese Physics C> 1990, Vol. 14> Issue(10) : 882-891

THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS

RUAN Jie ^, ,
JING Si-Cong

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

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Abstract：
In this paper,we calculate anomaly of the left-handed current in the two-dimensional linear σ model by using Bjorken-Johnson-Low limit.We have got the results which are quite consistent with those from non-perturbation functional integration.

References

[1]

Dac Sung Hwang, Nucl. Phys., B286 (1987), 231.[2] Faddeev. L. D. and Shatashvili. S, L., Phys. Lett., 167B (1986), 225[3] 阮图南，井思聪，中国科学，A 12(1987)，1273.[4] J. D. Bjorkea, Phys. Rev., 148(1966), 1467.K. Johnson and F. E. Low, Prog. Theorcs. Phys., (Kyoto) Suppl 37--38 (1966), 74.[5] P, A. M. Dirac, Lectures on Quantum Mechanics, New York, Yeshiva Univ，1964.[6] David Lurie, Particles and Fields, INTERSCIENCE PUBLISHERS a division of John Wiley Sons, New York London Sydney 1968.

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RUAN Jie and JING Si-Cong. THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS[J]. Chinese Physics C, 1990, 14(10): 882-891.

RUAN Jie and JING Si-Cong. THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS[J]. Chinese Physics C, 1990, 14(10): 882-891. 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

THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS

RUAN Jie ^,
JING Si-Cong

Corresponding author: RUAN Jie,

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

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-10-05

Abstract: In this paper,we calculate anomaly of the left-handed current in the two-dimensional linear σ model by using Bjorken-Johnson-Low limit.We have got the results which are quite consistent with those from non-perturbation functional integration.