THE SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION IN <EM>SU</EM> (2) GAUGE FIELD THEORY

Tao Fu-zhen; Yao Qi-yuan; Ou Zhi; He Zhi-qiang

Chinese Physics C> 1980, Vol. 4> Issue(2) : 179-185

THE SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION IN SU (2) GAUGE FIELD THEORY

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Abstract：
In this paper, using the method of power series expansion, all spherical symme-tric exact solutions of the non-linear equation∂²Φ(x)=cΦ³(x) are given. These solu-tions fall into three types: i)Φ(r)=√-1/c 1/r; ii)Φ(r)=a/(r²+A²); iii)Φ(r)=a′/(r²-A²).

References

[1]	A. A. Belavin et al., Phys. Lett., 59B(1975),85.[2] E. Corrigan et al., Phys. Lett., 67B(1977), 69.[3] Y. De. Alfaro et al., Phys. Lett., 65B(1976), 163.[4] 李华钟、冼鼎昌、郭硕鸿,高能物理与核物理,2 (1978), 23,[5] 卢文等:“非线性偏微分方程的Soliton解”,中山大学引力研究室预印本,1977年10月.

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Tao Fu-zhen, Yao Qi-yuan, Ou Zhi and He Zhi-qiang. THE SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION IN SU (2) GAUGE FIELD THEORY[J]. Chinese Physics C, 1980, 4(2): 179-185.

Tao Fu-zhen, Yao Qi-yuan, Ou Zhi and He Zhi-qiang. THE SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION IN SU (2) GAUGE FIELD THEORY[J]. Chinese Physics C, 1980, 4(2): 179-185. shu

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Received: 1979-02-01
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 SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION IN SU (2) GAUGE FIELD THEORY

Received Date: 1979-02-01
Accepted Date: 1900-01-01
Available Online: 1980-04-05

Abstract: In this paper, using the method of power series expansion, all spherical symme-tric exact solutions of the non-linear equation∂²Φ(x)=cΦ³(x) are given. These solu-tions fall into three types: i)Φ(r)=√-1/c 1/r; ii)Φ(r)=a/(r²+A²); iii)Φ(r)=a′/(r²-A²).