GEOMETRICAL DESCRIPTION OF DECOMPOSIBILITY OF A NON-ABELIAN GAUGE POTENTIAL

  • The decomposibility of a non-abelian gauge potential is discussed from the point of view of the Cartan geometry with zero-torson. By means of the commutation relation between the γ-matriees and the generators of the Lorentz group, we obtain the expression of gauge potential for the related "isotopic space".
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  • [1] 侯伯宇、段一士、葛墨林,兰州大学学报(自然科学版),1975, 2, 26,[2] 段一士、葛墨林,科学通报,21 (1976), 282,[3] 段一士、葛墨林,兰州大学学报(自然科学版),1977, 1, 33,[4] 侯伯宇,物理学报,26 (1977), 83,[5] 嘉当,《黎曼几何学》,姜立夫等译(科学出版社,1964),[6] 谷超豪,《齐性空间微分几何学》.(上海科学技术出版社,1965),[7] 万哲先,《李代数》(科学出版社,1964),[8] P. M. Cohn, "Lie Groupsn" (1957).[9] 冼鼎昌、李华钟、郭硕鸿,中山大学学报(自然科学版),1977, 2, 47,
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TUAN I-SHIH and KEH MO-LIN. GEOMETRICAL DESCRIPTION OF DECOMPOSIBILITY OF A NON-ABELIAN GAUGE POTENTIAL[J]. Chinese Physics C, 1978, 2(6): 511-514.
TUAN I-SHIH and KEH MO-LIN. GEOMETRICAL DESCRIPTION OF DECOMPOSIBILITY OF A NON-ABELIAN GAUGE POTENTIAL[J]. Chinese Physics C, 1978, 2(6): 511-514. shu
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Received: 1978-02-27
Revised: 1900-01-01
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GEOMETRICAL DESCRIPTION OF DECOMPOSIBILITY OF A NON-ABELIAN GAUGE POTENTIAL

Abstract: The decomposibility of a non-abelian gauge potential is discussed from the point of view of the Cartan geometry with zero-torson. By means of the commutation relation between the γ-matriees and the generators of the Lorentz group, we obtain the expression of gauge potential for the related "isotopic space".

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