GEOMETRICAL DESCRIPTION OF DECOMPOSIBILITY OF A NON-ABELIAN GAUGE POTENTIAL

TUAN I-SHIH; KEH MO-LIN

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1978, Vol. 2> Issue(6) : 511-514

GEOMETRICAL DESCRIPTION OF DECOMPOSIBILITY OF A NON-ABELIAN GAUGE POTENTIAL

TUAN I-SHIH ,
KEH MO-LIN

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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".

References

[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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沈阳化工大学材料科学与工程学院沈阳 110142

GEOMETRICAL DESCRIPTION OF DECOMPOSIBILITY OF A NON-ABELIAN GAUGE POTENTIAL

TUAN I-SHIH
KEH MO-LIN

Received Date: 1978-02-27
Accepted Date: 1900-01-01
Available Online: 1978-12-05

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".