THE MULTISYNCHRO-SPHERICAL SOLUTIONS OF THE SU(N)GAUGE THEORY

WANG PEI; HOU BO-YU

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2024年10月30日

Chinese Physics C> 1979, Vol. 3> Issue(5) : 555-571

THE MULTISYNCHRO-SPHERICAL SOLUTIONS OF THE SU(N)GAUGE THEORY

WANG PEI ,
HOU BO-YU

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Abstract：
We study the monopole solutions of the SU(N) gauge group systematically,generalize the current synchro-spherical symmetrical monopole to the multi synchro-spherical symmetrical case,and give the complete classification of the monopole so-lutions.As examples,we have calculated the SU(3) and SU(4) monopoles in detail,and discuss some problems such as angular momenta and topological quantum num-bers.

References

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G. 'tHooft, Nucl. Phys., B79(1974), 276;A. TIonAKOS, IIecbMa s 7K3T}. 20 (1974), 430.[2] 王永康、张高有、侯伯宇，西北大学学报(自然科学), 1976年2-3期21页.[3] 侯伯宇，西北大学基本粒子研究报告.[4] A. S. Gorldhaber D. Wilkinson, Nucl. Phys., B114 (1976), 317.[5] D. Wilkinson, A. S. Goldhaber, Phys. Rev., D16 (1977), 1221.[6] 侯伯宇、段一士、葛墨林，物理学报，25 (1976), 451. 侯伯宇，物理学报，26 (1977), 83.[7] J. Arafune, P. G. O. Freund, C. J, Goebel, J. Math. Phys., 16 (1975), 433.[8] 侯伯宇，复旦大学学报(自然科学)3 (1977), 23.[9] P. A. M. Dirac, Proc. Roy. Soc., A133 (1931), 60; Phys. Rev., 74 (1948). 817.[10] 吴大峻、杨振宁 Phys. Rev., D12 (1975), 3845;杨振宁，夏威夷会议报告: 规范场，1975.[11] 王佩、马宗复，四川大学学报(自然科学)1965年1期53页.[12] E. Gorrigan, D. I. Olive, D. B. Fairlie, J. Nuyts, Nucl. Phys., B106 (1976), 475.[13] F. Brihaye., J. Nuyts. J, Math. Phys., 18 (1977). 2177.[14] 见如:G. Racah, Group Theory and Spectroscopy, Princeton., 1951.中译:拉卡著群论和核谱(梅向明译)高教出版社1959. B. D. Judd, Operator Techniques in Atomic Spectroscopy, MacGraw-Hill Book Company, Inc. 1963.

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WANG PEI and HOU BO-YU. THE MULTISYNCHRO-SPHERICAL SOLUTIONS OF THE SU(N)GAUGE THEORY[J]. Chinese Physics C, 1979, 3(5): 555-571.

WANG PEI and HOU BO-YU. THE MULTISYNCHRO-SPHERICAL SOLUTIONS OF THE SU(N)GAUGE THEORY[J]. Chinese Physics C, 1979, 3(5): 555-571. shu

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Received: 1978-06-19
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 MULTISYNCHRO-SPHERICAL SOLUTIONS OF THE SU(N)GAUGE THEORY

WANG PEI
HOU BO-YU

Received Date: 1978-06-19
Accepted Date: 1900-01-01
Available Online: 1979-10-05

Abstract: We study the monopole solutions of the SU(N) gauge group systematically,generalize the current synchro-spherical symmetrical monopole to the multi synchro-spherical symmetrical case,and give the complete classification of the monopole so-lutions.As examples,we have calculated the SU(3) and SU(4) monopoles in detail,and discuss some problems such as angular momenta and topological quantum num-bers.