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 _iwhich is commuting with respect to the upper index b,we get another transformation.Both transformations are proved to be equivalent.

References

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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_iwhich is commuting with respect to the upper index b,we get another transformation.Both transformations are proved to be equivalent.