摘要
本文从要求拉氏函数密度不变性出发导出了非阿贝尔规范场的一般变换式,论证了当其中的群参数θ(x)等于反对易的鬼场C(x)与反对易的无穷小数占的乘积时即得B.R.S.变换,此时ξ与时空坐标及内部空间分量指标无关;θ(x)等于对上指标反对易的无穷小张量ξ_i^b与鬼场C(x)乘积时得“推广”的变换式.证明了两者是等价的.
In this paper, the general transformation of non-abelian gauge field is derived from the invariance 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 of intrinsic 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^b which is commuting with respect to the upper index b, we get another transformation. Both transformations are proved to be equivalent.
出处
《高能物理与核物理》
SCIE
CAS
CSCD
北大核心
1989年第4期302-308,共7页
High Energy Physics and Nuclear Physics
