THE FOUR-DIMENSION ANTI-SELF-DUAL EQUATION AND RIEMAN-HILBERT TRANSFOR MATION

ZHENG Zhe-Zhu; LIN Jin-Hu

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1986, Vol. 10> Issue(4) : 434-437

THE FOUR-DIMENSION ANTI-SELF-DUAL EQUATION AND RIEMAN-HILBERT TRANSFOR MATION

ZHENG Zhe-Zhu ^, ,
LIN Jin-Hu

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Abstract：
Rieman-Hilbert transformation is applied to the four-dimension Anti-Self-Dual equation and 'tHooft's instanton solution is derived.

References

[1]

C. N. Yang, Phys. Rev. Lett., 38(1977), 1377.[2] R. .S. Ward, Phys. Lett., 61A(1977), 81.[3] M. F. Atiyah, R. S. Ward, Commun. Math. Phys., 55(1977), 17.[4] B. E. axapoa, A. B. Миxайлов ЖЗТФ 74(1978), 1953.[5] I. Hauser, F. J. Ernst, J. Math. Phys., 21(1980), 1126; 21(1980), 1418.[6] K. Pohmeyer, Commun. Math. Phys., 72(1980), 37.

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ZHENG Zhe-Zhu and LIN Jin-Hu. THE FOUR-DIMENSION ANTI-SELF-DUAL EQUATION AND RIEMAN-HILBERT TRANSFOR MATION[J]. Chinese Physics C, 1986, 10(4): 434-437.

ZHENG Zhe-Zhu and LIN Jin-Hu. THE FOUR-DIMENSION ANTI-SELF-DUAL EQUATION AND RIEMAN-HILBERT TRANSFOR MATION[J]. Chinese Physics C, 1986, 10(4): 434-437. shu

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

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