THE EQUIVALENCE OF TWO TRANSFORMATIONS OF THE INVARIANCE OF LAGRANGIAN FUNCTION IN NON-ABELIAN GAUGE FIELD

QIU Rong

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(4) : 302-308

THE EQUIVALENCE OF TWO TRANSFORMATIONS OF THE INVARIANCE OF LAGRANGIAN FUNCTION IN NON-ABELIAN GAUGE FIELD

QIU Rong ^,

Physics Department,Fuzhou University

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Abstract：
In this paper,the general transformation of non-abelian gauge field is derived from the in variance reguirement of the effective lagrangian function.It is shown that when the group parameter θ(x) is the product of the anti-commuting ghost field and an infinitesimal number anticommuting ξ which is independent of the component indices space,the B.R.S.transformation is obtained.When θ(x) is equal to the ghost field C(x) times an infinitesimal tensor ξ_i which is commuting with respect to the upper index b,we get another transformation.Both transformations are proved to be equivalent.

References

[1]	胡瑶光:“规范场论”，1984年，华东师大出版社，p. 184,[2] 李政道:“场论与粒子物理学”下册，1984年，科学出版社，pp. 16-17,[3] C. Becchi, A. Rouet and R. Stora, Comm. Math Phys., 42(1975), 127,[4] 全湘林、王连吉，高能物理与核物理，4(1986)，508,[5] 喻身启、李怀玖、邱荣，辽宁师院学报(自然科学版)4(1982)，40.[6] 邱荣，福州大学学报(自然科学版)，13(1985)，29,

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QIU Rong. THE EQUIVALENCE OF TWO TRANSFORMATIONS OF THE INVARIANCE OF LAGRANGIAN FUNCTION IN NON-ABELIAN GAUGE FIELD[J]. Chinese Physics C, 1989, 13(4): 302-308.

QIU Rong. THE EQUIVALENCE OF TWO TRANSFORMATIONS OF THE INVARIANCE OF LAGRANGIAN FUNCTION IN NON-ABELIAN GAUGE FIELD[J]. Chinese Physics C, 1989, 13(4): 302-308. shu

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Received: 1900-01-01
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 EQUIVALENCE OF TWO TRANSFORMATIONS OF THE INVARIANCE OF LAGRANGIAN FUNCTION IN NON-ABELIAN GAUGE FIELD

QIU Rong ^,

Corresponding author: QIU Rong,

Physics Department,Fuzhou University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-04-05

Abstract: In this paper,the general transformation of non-abelian gauge field is derived from the in variance reguirement of the effective lagrangian function.It is shown that when the group parameter θ(x) is the product of the anti-commuting ghost field and an infinitesimal number anticommuting ξ which is independent of the component indices space,the B.R.S.transformation is obtained.When θ(x) is equal to the ghost field C(x) times an infinitesimal tensor ξ_i which is commuting with respect to the upper index b,we get another transformation.Both transformations are proved to be equivalent.