用导数展开法求解QGP动力论方程时的规范自洽性

夸克胶子等离子体的动力论方程是非线性非阿贝尔的，用一般方法很难求解，导数展开法是求解非线性方程的一种有效方法，但动力论方程是规范不变的，要求导数展开法也要不破坏规范不变性，本文证明，虽然导数展开法在逐级展开中破坏了规范不变性，但由各阶的和所得的物理结果是规范不变的。

The gauge invariance on solving the QGP kenetic equations with the derivative method

The kenetic equations of quark gluon plasma(QGP) are non Abelian and non linear.It is hard to solve these equations by the traditional methods.This paper suggests that the derivative expansion method is one of the effective methods to slove the nonlinear equations.However,the kenetic equations are gauge invariance,so the derivative expansion method must not violate the aguge invariance.This paper proves that the derivative expansion method violates the gauge invariance at each expansive order,but the physical result we get by the sum of all of the expansive orders is gauge invariance.