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

[1]

S. L. Glashow, Nucl. Phys.,22(1961), 579; S. Weinberg, Phys.Rev. Lett., 19(1967), 1264;A.Salam, Proceedings of the 8th Nobel symposium Stockholm 1968. ed. by N. Svartholm, p. 367.[2] J. C. Pati, and A. salam, Phys. Rev. Lett., 31(1973), 661;H. Georgi and s. L. Glaehow, Phys.Rev. Lett., 32(1974), 438.[3] A. Aetor, Rev. Mod. Phys., 51(1979), 461.[4] J. E. Mandula, Phys. Lett., 678(1977), 175; M. Magg, Phys. Lett., 74B(1978), 246[5] J. E. Mandula, Phys. Lett., 698 (1977 ) , 495.[6] P. Sikivie and N. Weisa, Phys. Rev., D18(1978), 3809.[7] P. Pirl and P. Presuajder, Nucl. Phys., B142(1978), 229.[8] R. Jackiw, L. Jaeobs and C. Rebbi, Phys. Rev., D20(1979), 474.[9] M.Magg, Phys. Lett., 78B(1978), 481;Ref. TH.2653-CERN (1979).[10] R. Macciejko, J. Math Phys., 19(1978), 2491.[11] S. J. Chang and N. Weias, Phys. Rev., 20D(1979),869; P. Sikivie, Phys. Rev, 20D(1979), 877.[12] M.Magg, Phys. Lett., 77B(1978), 199.[13] 东方晓、周咸建、黄涛、薛王友,高能物理与核物理,4(1980), 724;马中骐、东方晓、周咸建、薛王友,高能物理与核物理,5(1981), 182.[14] 马中骐、东方晓、周咸建、黄涛、薛王友、黄念宁、中国科学,No.10 (1980), 955.[15] 谷超豪,复旦学报(自然科学版),No.2(1977), 30.[16] 谷超豪,复且学报(自然科学版),No.2(1976), 51.[17] C. N. Yang, Phys. Rev. Lett., 33(1974), 445.[18] 谷超豪,规范场数学结构的研究,1978,未发表.[19] 侯伯宇、谷超豪、胡和生,复旦学报(自然科学版),No.1(1977), 92.

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[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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