相对论性量子场反常维度与动量空间维度——纪念爱因斯坦《相对论》诞生百周年

Momentum space dimensiongrad D=D0-ε(D0-4) andanomalous dimensiongrad of relativistic quantum field

摘要: 量子场中的奇异性(发散困难)被量子场反常维度CB(gR,eR)与D=D0-ε(D0=4)中ε参数所控制,CB(gR,eR)与ε可以相互替换.CB(gR)(QCD)的渐进自由被实验√S=30~1 800 GeV所证实.强相互作用的电荷依赖为CB(gR,±)=CB(gR,0)1+beR/gR2(b≤1).非线性相互作用改变了量子场的维度与量子场的拓扑不变性.

Abstract: The Singularities of Quantum Field Theory are Controlled by the anomalous dimensiongrad CB(gR),eR) and the parameter ε in D=D0-ε(D0=4);CB(gR,eR)and ε can be instead one another.The Asymptotic freedom of CB(gR)(QCD) is proved by the experimental data(√S=30—1800GeV);The charge-dependent of strong interaction is in the form of CB(gR,±)=CB(gR,0)1+beR/gR2(b≤1) Non-linear interactions change strongly the dimensiongrad of the quantum fields,the topological invariance.