CLASSICAL STATIC AND SPHERICALLY SYMMETRIC SOLUTION OF <EM>SU</EM>(3) GAUGE FIELD WITH A STATIC AND ECTERNAL EXTERNAL SOURCE

MA ZHONG-QI; DONG FANG-XIAO; ZHOU XIAN-JIAN; XUE PEI-YOU

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1981, Vol. 5> Issue(2) : 182-191

CLASSICAL STATIC AND SPHERICALLY SYMMETRIC SOLUTION OF SU(3) GAUGE FIELD WITH A STATIC AND ECTERNAL EXTERNAL SOURCE

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Abstract：
It has been shown that the classical SU(3) Yang-Mills equation with a static and extended external source has static and spherically symmetric solutions only for spherically symmetric external source, and in that external source there is no further static and spherically symmetric solution besides the Coulombic one.

References

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J. E. Mandula, Phys. Lett., 69B(1977), 495, J. E. Mandula and L. McLerran, Phys. Lett., 73B(1978), 193.[2] M. Magg, Phys. Lett., 77B (1978). 190.[3] 东方晓、周成建、黄涛、薛王友,高能物理与核物理,5(1981) 724.[4] P. Sikivie and N. Weise, Phys. Rev., D18(1978), 3809,注意此文注[14].[5] 参看一般的拓扑学教科书,如:W. G. Chinn and N. E,中译本,王昌锐译《拓扑学基本概念》,100页.

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[2]	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.
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[4]	HUI Ping . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[5]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[6]	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.
[7]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(5): 398-404.
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[11]	HE Xiang-Hao , Xian Ding-Chang . VARIATIONAL ANALYSIS OF THE PHASE STRUCTURE OF THE SU(3) LATTICE GAUGE THEORY WITH A MIXED FUNDAMENTAL-ADJOINT ACTION. Chinese Physics C, 1985, 9(1): 120-124.
[12]	HE Xiang-Hao , LI Tie-Zhong , XIAN Ding-Chang . SINGLE LINK PARTITION FUNCTIONS FOR VARIOUS FORMS OF SOURCES AND THEIR APPLICATIONS IN SU(3) LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1984, 8(6): 772-776.
[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.
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[15]	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.
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MA ZHONG-QI, DONG FANG-XIAO, ZHOU XIAN-JIAN and XUE PEI-YOU. CLASSICAL STATIC AND SPHERICALLY SYMMETRIC SOLUTION OF SU(3) GAUGE FIELD WITH A STATIC AND ECTERNAL EXTERNAL SOURCE[J]. Chinese Physics C, 1981, 5(2): 182-191.

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Received: 1979-11-14
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

CLASSICAL STATIC AND SPHERICALLY SYMMETRIC SOLUTION OF SU(3) GAUGE FIELD WITH A STATIC AND ECTERNAL EXTERNAL SOURCE

Received Date: 1979-11-14
Accepted Date: 1900-01-01
Available Online: 1981-04-05

Abstract: It has been shown that the classical SU(3) Yang-Mills equation with a static and extended external source has static and spherically symmetric solutions only for spherically symmetric external source, and in that external source there is no further static and spherically symmetric solution besides the Coulombic one.