SU(2)群规范势分解的几何意义

The Geomytry Meaning of Decomposition of Gauge Potential

介绍了规范势可分解理论和具有内部结构的理论基础。使用李代数方法对SU(2)规范势进行了完全分解,将SU(2)规范势用单位矢量场进行表示,进一步研究了SU(2)规范势的几何意义,并使用几何投影方法分解了SU(2)规范势,建立了SU(2)规范势用矢量场分解的一般表达式。最后,研究了当■取规范平行三维矢量时SU(2)规范场强和Yang-Mills作用量。

By means of devices of lie algebra, we decompose the gauge potential completely in terms of unit vector. The gauge potential is interpreted by geometry method, and the gauge potential is decomposed by the method of geometry projection. A general decomposition formula of gauge potential in terms of a unit vector field has been established. We also get the gauge field and Yang-MiUs action when is gauge parallel three-dimensional unit vector.