STATICAL SPHEROSYMMETRICAL SOURCELESS SOLUTION OF <EM>SU</EM>(2) GAUGE FIELD——THE SELFDUALITY,UNIQUENESS AND THE SELF INDUCED CHARGE CURRENT

HOU BO-YU; HOU BO-YUAN

Chinese Physics C> 1979, Vol. 3> Issue(3) : 225-265

STATICAL SPHEROSYMMETRICAL SOURCELESS SOLUTION OF SU(2) GAUGE FIELD——THE SELFDUALITY,UNIQUENESS AND THE SELF INDUCED CHARGE CURRENT

HOU BO-YU ,
HOU BO-YUAN

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Abstract：
It is shown that the statical spherosymmetrical sourceless solutions of SU(2) guagefield,which satisfy a physical boundary condition,must be selfdual.Then from theselfdual condition,we solve the equation explicitily,hence show the uniqueness analy-tically.By gauge transforming the Lagrangian by a local generator of synchrono-symmetry,we get a corresponding local charge current density,which is both gaugeinvariant and conserved.The total values of either electric or magnetic charge arequantized,but the charge distributions in space are continuous and not restrictedby quantization.Finally we discuss a mechanism of spontaneous symmetry break-down.Contrary to ordinary magnetic flux string,now the ordered phase is surround-ed by the normal phase,the ordered phase repels electric fields,and electric fieldsdestory the ordered phase.

References

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G. 't Hooft. Nucl. Phys., B79 (1974). 276.[2] M. K. Prasad, C. M. Sommerfield. Phys. Rev. Lett., 35 (1975), 760.[3] J. P. Hsu, Phys. Rev. Lett., 36 (1976), 646;Nuov Cim., 14 (1975), 189.[4] T. S. Wu, G. N. Yang, Phys. Rev., D13 (1976), 3233.[5] P. H. Framton. Phys. Rev., D14 (1976), 528.[6] A. Belavin, A. Polyakov. A. Schwartz, Y. Tyukin, Phys. Lett., 59B (1975), 85.[7] R. Jackiw, C. Rcbbi, Phys. Rev., D14 (1975), 517.[8] 李华钟、冼鼎昌、郭硕鸿，1977年基本粒子座谈会上报告(北京).[9] 李华钟、冼鼎昌、郭硕鸿、吴泳时，1977年基本粒子座谈会上报告(北京).[10] E.Witten. Phys. Rev. Lett., 38 (1977). 121.[11] 彭加贵，科学通报，22(1977), 255.[12] C. N. Yang, SB-ITP 77/33.[13] E. Corrigan. D. B. Fairlie, Durham 预印品.[14] R. Jackiw, C. Nohl, C. Rebbi, Phys. Rev., D15 (1977), 1642.[15] 谷超豪，未发表.[16] 侯伯宇，物理学报，26 (1977), 367.[17] 谷超豪、胡和生、侯伯宇，复旦学报，1977年1期92页.[18] E. J. Weinberg, A. H. Guth, Phys. Rev., D14 (1976), 1660.[19] S. Descr, Phys. Lett., 64B (1976). 463.[20] 侯伯宇，物理学报，26 (1977), 83.

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HOU BO-YU and HOU BO-YUAN. STATICAL SPHEROSYMMETRICAL SOURCELESS SOLUTION OF SU(2) GAUGE FIELD——THE SELFDUALITY,UNIQUENESS AND THE SELF INDUCED CHARGE CURRENT[J]. Chinese Physics C, 1979, 3(3): 225-265.

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Received: 1977-11-21
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

STATICAL SPHEROSYMMETRICAL SOURCELESS SOLUTION OF SU(2) GAUGE FIELD——THE SELFDUALITY,UNIQUENESS AND THE SELF INDUCED CHARGE CURRENT

HOU BO-YU
HOU BO-YUAN

Received Date: 1977-11-21
Accepted Date: 1900-01-01
Available Online: 1979-06-05

Abstract: It is shown that the statical spherosymmetrical sourceless solutions of SU(2) guagefield,which satisfy a physical boundary condition,must be selfdual.Then from theselfdual condition,we solve the equation explicitily,hence show the uniqueness analy-tically.By gauge transforming the Lagrangian by a local generator of synchrono-symmetry,we get a corresponding local charge current density,which is both gaugeinvariant and conserved.The total values of either electric or magnetic charge arequantized,but the charge distributions in space are continuous and not restrictedby quantization.Finally we discuss a mechanism of spontaneous symmetry break-down.Contrary to ordinary magnetic flux string,now the ordered phase is surround-ed by the normal phase,the ordered phase repels electric fields,and electric fieldsdestory the ordered phase.