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

Abstract
HTML
Reference
Related

PDF

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]	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.
[5]	HUI Ping . Sixth Order Approximation of the Glueball Wave Function in 2+1-DSU(2)LGT. Chinese Physics C, 2000, 24(7): 636-641.
[6]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[7]	Hu Jingguo . Monte-Carlo Simulation on Asymmetric Lattices for SU(2) Gauge Field Thermodynamics. Chinese Physics C, 1997, 21(9): 801-805.
[8]	Hui Ping , Cai Pengfei , Chen Qizhou . Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[9]	LI Fu-Bin . Description of the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equations System and Further Discussions. Chinese Physics C, 1992, 16(5): 408-413.
[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.
[13]	MA ZHONG-QI . THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE. Chinese Physics C, 1982, 6(2): 176-184.
[14]	MA ZHONG-QI , DONG FANG-XIAO , ZHOU XIAN-JIAN , XUE PEI-YOU . CLASSICAL STATIC AND SPHERICALLY SYMMETRIC SOLUTION OF SU(3) GAUGE FIELD WITH A STATIC AND ECTERNAL EXTERNAL SOURCE. Chinese Physics C, 1981, 5(2): 182-191.
[15]	Ge Mo-lin , Duan Yi-shi . ON THE GAUGE VACUUM EFFECTS IN SU₂ GAUGE THEORY. Chinese Physics C, 1980, 4(5): 539-544.
[16]	Dong Fang-xiao , Zhou Xian-jian , Huang Tao , Xue Pei-you . THE TIME-DEPENDENCES OF THE STATIC SOLUTION OF SU(2) AND SU(3) GAUGE THEORY AT THE PRESENCE OF STATIC EXTENDED SOURCE. Chinese Physics C, 1980, 4(6): 724-734.
[17]	WANG PEI , HOU BO-YU . THE MULTISYNCHRO-SPHERICAL SOLUTIONS OF THE SU(N)GAUGE THEORY. Chinese Physics C, 1979, 3(5): 555-571.
[18]	HOU BO-YU , HOU BO-YUAN . STATICAL SPHEROSYMMETRICAL SOURCELESS SOLUTION OF SU(2) GAUGE FIELD——THE SELFDUALITY,UNIQUENESS AND THE SELF INDUCED CHARGE CURRENT. Chinese Physics C, 1979, 3(3): 225-265.
[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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1979-02-01
Revised: 1900-01-01

Article Metric

Article Views(3202)
PDF Downloads(271)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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).