THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL <EM>SU</EM>(<EM>N</EM>) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE

MA ZHONG-QI

Chinese Physics C> 1982, Vol. 6> Issue(2) : 176-184

THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE

MA ZHONG-QI

Institute of High Energy Physics, Academia Sinica

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In this paper we discuss the relation between the normal static and sphericallysymmetric solution of classical SU(N) Yang-Mills equation in the wide sense and thestatic and spherically symmetric external source. We show that: (i) The normalstatic and spherically symmetric solution must be Coulombian for the diagonalizablenon-uniform static and spherically symmetric external source, if in some sphericall shell r₁＜r＜r₂ the source is extended in N or (N-1) order; (ii) It is impossible toconfine the normal static and spherically symmetric solution which is not strict sphe-rically symmetric in finite region.

References

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[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]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.
[20]	HOU BO-YU . NONEQUIVALENT SU(2) GAUGE POTENTIALS UNDER EQUAL FIELD STRENTHS AND SOURCES. Chinese Physics C, 1978, 2(1): 61-66.

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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[J]. Chinese Physics C, 1982, 6(2): 176-184.

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Received: 1980-11-14
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 RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE

Institute of High Energy Physics, Academia Sinica

Received Date: 1980-11-14

Accepted Date: 1900-01-01

Available Online: 1982-04-05

Abstract: In this paper we discuss the relation between the normal static and sphericallysymmetric solution of classical SU(N) Yang-Mills equation in the wide sense and thestatic and spherically symmetric external source. We show that: (i) The normalstatic and spherically symmetric solution must be Coulombian for the diagonalizablenon-uniform static and spherically symmetric external source, if in some sphericall shell r₁＜r＜r₂ the source is extended in N or (N-1) order; (ii) It is impossible toconfine the normal static and spherically symmetric solution which is not strict sphe-rically symmetric in finite region.

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THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE

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