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

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

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).

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