|
系统科学与数学 2008
The Exact Yang-Mills Gauge Fields of SU(2) in Euclidean Space
|
Abstract:
The reguralization of SU(2) Yang-Mills gauge fields is presented by using the method of mathematics mechanization in this paper. Two fundamental concepts are introduced: exact Yang-Mills equation and characteristic transformation of Yang-Mills gauge fields. Based on the two concepts, the specializations of SU(2)gauge fields are realized, that is, the linearizations of exact Yang-Millsequations are obtained via characteristic transformations. Thus, the existence of $SU(2)$ Yang-Mills gauge fields is proved.