模糊图对于量子电动力学的意义  

The Meaning of Fuzzy Graph for Quantum Electrodynamics

作　　者：邱文兵[1] 

机构地区：[1]石河子大学师范学院物理系,新疆石河子832003

出　　处：《渭南师范学院学报》2010年第5期29-33,共5页Journal of Weinan Normal University

基　　金：石河子大学高层次人才科研启动资金资助项目(RCZX200692)

摘　　要：考虑到费曼图描述量子电动力学(QED)会导致紫外发散,而为了消除紫外发散而进行的电荷重整化在消除紫外发散的同时又带来了红外发散,文章尝试用模糊图代替费曼图描述QED,得到了模糊图的传播子规则和真空场传播的模糊性以及其隶属函数因子的形式.计算结果显示,利用模糊图描述QED即可消除紫外发散又不会带来红外发散.Considering that Feynman diagram leads to ultraviolet divergences when it is used to describe quantum electrodynamics.Moreover,the renormalization of charge results in ultra-red divergences when ultraviolet divergences are canceled by it.Thereby,Fuzzy graph is used to replace Feynman diagram to describe QED.We have derived the rules for the propagators in fuzzy graph,and put forward the fuzziness of the propagation of vacuum field and the form of membership function.The results of the calculation show that fuzzy graph can cancel ultraviolet but can not cancel ultra-red divergences.

关 键 词：费曼图 模糊图 紫外发散 红外发散 

分 类 号：O412.1[理学—理论物理]