描述微观高速过程的模糊图

Fuzzy Graphs Describing Microcosmic Fast-speed Process

对于费曼图导致紫外发散的出现,且不能计算其电磁质量和重整化导致的电荷改变量的问题,采用模糊图论描述微观高速领域,从而既可消除紫外发散,又能计算电磁质量和重整化导致的电荷改变量。结果表明:真空作用导致的电子质量和电荷的改变量都很小,分别为0.3%、0.026%。利用模糊图计算了电子传播子的一级修正形式,发现该形式不同于通常的形式,不需要电荷重整化,同时也避免了红外发散,对S矩阵元的修正是微小的辐射修正。

Since it leads to ultraviolet divergences and cannot calculate the change quantities of the mass and charge of electron in renormalization process,fuzzy graph is used to describe microcosmic fast-speed domain in this paper.Thus,on the one hand,ultraviolet divergences can be canceled;on the other hand,electronic electromagnetic mass and charge change can also be derived.The results indicate that these two changes are both very small respectively with number value 0.3% and 0.026%.The form of the second order approximation for the propagator of electron is calculated in fuzzy Feynman diagram,which is different from conventional form.The renormalization of charge is no longer necessary;at the same time,ultra-red divergences are also avoided.The correction to S matrix element is small radiative correction.