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

  • 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 ξi which is commuting with respect to the upper index b,we get another transformation.Both transformations are proved to be equivalent.
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  • [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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THE EQUIVALENCE OF TWO TRANSFORMATIONS OF THE INVARIANCE OF LAGRANGIAN FUNCTION IN NON-ABELIAN GAUGE FIELD

    Corresponding author: QIU Rong,
  • Physics Department,Fuzhou University

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

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