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

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《中国物理C》（英文）编辑部

2024年10月30日

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.

[1]	HUI Ping . Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT. Chinese Physics C, 2005, 29(4): 345-349.
[2]	HUI Ping , ZHENG Tai-Yu , WANG Zhou-Fei . Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method. Chinese Physics C, 2004, 28(6): 580-583.
[3]	HUI Ping . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[4]	JIANG JunQin . Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory. Chinese Physics C, 2000, 24(10): 922-926.
[5]	LI JieMing , JIANG JunQin . Calculation of the Glueball Mass for 2+1 Dimensional SU(2) Lattice Gauge Field Theory by Using the Improved Hamiltonian. Chinese Physics C, 2000, 24(12): 1094-1097.
[6]	HUI Ping . Sixth Order Approximation of the Glueball Wave Function in 2+1-DSU(2)LGT. Chinese Physics C, 2000, 24(7): 636-641.
[7]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[8]	Hu Jingguo . Monte-Carlo Simulation on Asymmetric Lattices for SU(2) Gauge Field Thermodynamics. Chinese Physics C, 1997, 21(9): 801-805.
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[10]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[11]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
[12]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
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[15]	Ge Mo-lin , Duan Yi-shi . ON THE GAUGE VACUUM EFFECTS IN SU₂ GAUGE THEORY. Chinese Physics C, 1980, 4(5): 539-544.
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[19]	WANG YUN-KONG , CHANG KUO-TIU , HOU BO-YU . A SERIES OF SOURCELESS SOLUTION OF SU(2) GAUGE FIELDS——THE SU(2) AND U(1) POTENTIAL OF STATIC MONOPOLE SYSTEMS. Chinese Physics C, 1978, 2(4): 368-370.
[20]	WU YONG-SHI , CHEN SHIH , TU TUNG-SHENG , GUO HAN-YING . DUAL CHARGES OF A SUBGROUP IN GAUGE THEORIES——MAGNETIC MONOPOLES OF SU₂ & SO₃ GAUGE FIELD. Chinese Physics C, 1977, 1(1): 52-64.

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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).