ON THE <EM>SU</EM>(4) MONOPOLE AND DYON SOLUTIONS

WANG KE-LIN; HSIEN TING-CHANG; CHENG HSI-THE

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2024年10月30日

Chinese Physics C> 1978, Vol. 2> Issue(5) : 403-410

ON THE SU(4) MONOPOLE AND DYON SOLUTIONS

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Abstract：
A simple method is proposed to obtain the classical monopole and dyon solutions in the case of SU(4) symmetry, which can be systematically generalized to the general case of SU(N). The solutions obtained in the SU(4) case correspond to magnetic charges of ±1/g,±√3/(2g),±1/(√2g).

References

[1]

1977年3月本工作报告后，看到A. Chakrabarti and J. Dipoko, Phys.Rev., D15 (1977), 3011，文章讨论了SU(4)的经典解，繁而未得到本文的±1/(√2g)的荷值.M. Kaku,Phys. Rev., D 13(1976),2881,则是讨论完全另外类型的解.[2] D.Amati, H. Bacry, J. Nuyts, J. Prentki, Nuovo. Cim., 34(1964).1732.[3] G.'t Hooft, Nucl. Phys., B79(1974), 276;J. Arafume et. al., J. Math. Phys，16(1975), 433.[4] 侯伯宇，SU(N)规范场的可对易分量及带荷粒子分量，(西北大学科研报告).[5] W. J. Marciano and H.Pagels, Phys. Rev., D12(1975), 1093.

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[4]	XIAO Zhen-Jun , XUE Xiao-Zhou . SO(10)×SU(4) CHIRAL PREON MODEL SATISFYING COMPLEMENTARITY PRINCIPLE. Chinese Physics C, 1990, 14(4): 311-318.
[5]	WAN Ling-De , ZHANG Xin-Min , LU Gong-Ru , XUE Xiao-Zhou . A CONFINING SU(4)×SU(4) COMPOSITE MODEL OF THE WEAK INTERACTIONS. Chinese Physics C, 1986, 10(4): 420-426.
[6]	JIANG Xiang-Dong , ZHOU Xian-Jian . SO(10)×SO(8) MODEL WITH FRACTIONAL CHARGES, MONOPOLES AND PECULIAR PHOTONS. Chinese Physics C, 1985, 9(4): 421-429.
[7]	YU Zu-Rong . TRANSFORMATION COEFFICIENTS BETWEEN SO(6) AND SU(4) GELFAND-ZETLIN STATES. Chinese Physics C, 1983, 7(1): 121-125.
[8]	WU DAN-DI , LI TIE-ZHONG . HIGGS MIXING AND PROTON DECAY IN THE UNIFIED GAUGE MODEL SU(4)_C×SU(2)_L×SU(2)_R. Chinese Physics C, 1983, 7(6): 702-708.
[9]	XU De-Zhi . AN SU(4)×SU(2)×U(1) UNIFIED MODEL. Chinese Physics C, 1983, 7(1): 13-19.
[10]	MA Zhong-Qi , TANG Ju-Fei . FERMIONS IN SU(5) COLORLESS DYON FIELD. Chinese Physics C, 1983, 7(1): 35-41.
[11]	YU SHOU-MIEN . THE REGGE TRAJECTORY OF MESONS AND THE SU(4) MASS RELATIONS. Chinese Physics C, 1982, 6(1): 36-43.
[12]	WANG MING-ZHONG , ZHENG XI-TE , WANG KE-LIN , XIAN DING-CHANG , ZHANG ZHENG-GANG . DISCUSSIONS ON THE TRANSITION BETWEEN E₄ SOLUTIONS AND M₄ SOLUTIONS IN ENERGY BAND THEORY. Chinese Physics C, 1982, 6(2): 142-153.
[13]	GUO SHUO-HONG , CHEN QI-ZHOU , GUAN HONG . ON THE SU(3) INSTANTONS WITH TOPOLOGICAL CHARGE 4. Chinese Physics C, 1981, 5(6): 682-686.
[14]	GAO CHONG-SHOU . BETHE-SALPETER EQUATION FOR STRATON AND ANTISTRATON WITH DIFFERENT MASSES AND SU(4)MASS RELATIONS FOR MESONS. Chinese Physics C, 1979, 3(2): 152-164.
[15]	DONG FANG-XIAO , DU DONG-SHENG . SU_4×SU'₃MODEL AND γ-NEW PARTICLES. Chinese Physics C, 1979, 3(6): 788-790.
[16]	GAO CHUNG-SHOU . SU（4）×S₃^{^α} SCHEME OF STRATON MODEL AND THE NEWLY DISCOVERED HEAVY PARTICLE γ（9.5）. Chinese Physics C, 1978, 2(5): 394-402.
[17]	ELEMENTARY PARTICLE THEORY GROUP , DEPARTMENT OF PHYSICS , PEKING UNIVERSITY . AN SU（4）×S₃^a SCHEME OF THE STRATON MODEL. Chinese Physics C, 1978, 2(1): 1-9.
[18]	TZU TUNG-PEI . THE NON-SINGULAR VECTOR POTENTIAL OF A MAGNETIC MONOPOLE IN THE DIRECTION OF MERIDIAN. Chinese Physics C, 1978, 2(1): 93-96.
[19]	LEE TZE-PING . ON CLASSICAL ANGULAR MOMENTUM OF AN ELECTRON-MAGNETIC MONOPOLE. Chinese Physics C, 1978, 2(4): 378-381.
[20]	WANG KE-LIN , HSIEN TING-CHANG , CHENG HSI-THE . ON THE MAGNETIC MONOPOLE AND DIPOLE SOLUTION OF THE SU(N) GAUGE FIELD THEORY IN A CURVED SPACE. Chinese Physics C, 1978, 2(3): 275-279.

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WANG KE-LIN, HSIEN TING-CHANG and CHENG HSI-THE. ON THE SU(4) MONOPOLE AND DYON SOLUTIONS[J]. Chinese Physics C, 1978, 2(5): 403-410.

WANG KE-LIN, HSIEN TING-CHANG and CHENG HSI-THE. ON THE SU(4) MONOPOLE AND DYON SOLUTIONS[J]. Chinese Physics C, 1978, 2(5): 403-410. shu

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Received: 1978-01-07
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

ON THE SU(4) MONOPOLE AND DYON SOLUTIONS

Received Date: 1978-01-07
Accepted Date: 1900-01-01
Available Online: 1978-10-05

Abstract: A simple method is proposed to obtain the classical monopole and dyon solutions in the case of SU(4) symmetry, which can be systematically generalized to the general case of SU(N). The solutions obtained in the SU(4) case correspond to magnetic charges of ±1/g,±√3/(2g),±1/(√2g).