导数展开法及其规范不变性

夸克胶子等离子体的动力论方程是非阿贝尔和非线性的，用一般方法难于求解。在电磁等离子体中已被广泛证明为有效的展开法可用于求解夺夸克胶子等离子体的输运方程，在求解过程中，常选取瞬时轴规范以简化计算，故需首先证明动力论方程具有规范不变性，且展开法也不破坏规范不变性，本文从基本的规范变换关系直接证明动力论方程具有规范为变性，进一步证明各级近似下的动力论方程都具有规范不变性。

The derivative expansion method and the gauge invariance

The kinetic equations of Quark Gluon Plasma (QGP) are non Abelian and nonlinear.So it's almost impossible to solve these equations by using the normal traditional methods.We have introduced the powerful derivative expansion method successfully used in electromagnetic plasma kinetic equations here to solve these equations of QGP. As we simplify the calculation by taking the temporal axial gauge (TAG),we should at first prove that selecting a specific fixed gauge and using the derivative expansion method will not violate the gauge invariance.From the fundamental gauge transformation relations,we show directly the original kinetic equations of QGP and the ones at every expansion order are gauge invariant.