SU（n）$_U$ × SU（m）$_V$拉格朗日量规范不变动力学项的求取
Obtaining the Gauge Invariant Kinetic Term for a SU(n)$_U$ x SU(m)$_V$ Lagrangian
摘要：
我们提出了一种广义的方法来正式获得规范不变性的动力学部分的场拉格朗日的规范变换统治的$SU(n)_{U} \otimes SU(m)_{V}$耦合对称性应用。作为一个说明性的例子，我们采用这样一个正式的建设再现的标准模型拉格朗日。这一广义表述将有助于开展应用于广义$SU(n)_{U} \otimes SU(m)_{V}$对称性的规范变换的研究，并补充基本粒子标准模型的介绍性研究。
英文摘要：
We propose a generalized way to formally obtain the gauge invariance of the kinetic part of a field Lagrangian over which a gauge transformation ruled by an $SU(n)_{U} \otimes SU(m)_{V}$ coupling symmetry is applied. As an illustrative example, we employ such a formal construction for reproducing the standard model Lagrangian. This generalized formulation is supposed to contribute for initiating the study of gauge transformation applied to generalized $SU(n)_{U} \otimes SU(m)_{V}$ symmetries as well as for complementing an introductory study of the standard model of elementary particles.
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