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《中国物理C》(英文)编辑部
2024年10月30日

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

  • 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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  • [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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Get Citation
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.
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. shu
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Received: 1980-11-14
Revised: 1900-01-01
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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

  • Institute of High Energy Physics, Academia Sinica

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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