vacuum chart

The infrared divergences in vacuum graghs of quark (ignored mass) field at high tempethere are calculated in detial by real-time formulation of Green function, a kind of infrared divergent integral related to F-D statistical factor is pointed out and its regularization is discussed.

用热传播子的实时形式对高温条件下夸克（忽略质量）场三圈真空图进行了详细地计算，找出了其中和费米-狄拉克统计因子有关的红外发散积分的类型，并对这种发散积分进行了正规化，进一步把真空图中的红外发散全部孤立出来了。

The kinds of infrared divergent integrals in three-loop vacuum graghs of gluon field at finite temperature are pointed out and their regularization is discussed.

用热传播子的实时形式对有限温度下胶子场的三圈真空图进行了详细的计算，在维数正规化方案下把真空图中的红外发散全部孤立出来了。

The infrared divergences of three-loop vacuum graphs of masslessscalarand gluonfieldsand their regularization are discussed.

讨论无质量δ３理论标量场和胶子场三圈真空图中的红外发散和它的正规化，给出了它在Ｄ维空间的解析延拓表达式，并讨论了如何分离出交缠发散时的红外发散和共线发散。

The angular infrared divergences of three-loop vacuum graph in the massless scalar field φ3 theory and the scheme of dimensional regularization for these divergences are discussed.

讨论了无质量标量场３理论三圈真空图中的角度红外发散以及它的维数正规化方案，并给出了它在Ｄ维空间的解析表达式。