摘要
使用几何代数方法 ,研究了n维紧致黎曼流形上SO(n)规范势 (自旋联络 )的一般分解理论 ,建立了SO(n)规范场用球丛上单位矢量场n分解的一般表达式 .由此 ,分别得到了U(1 )规范场和U(2 )规范场用单位矢量场n分解的一般形式 .
By means of devices of geometry algebra the general decomposition of gauge potential (spin connection) on a compact n dimension Riemannian manifold has been studied in detail. A general decomposition formula of SO(n) gauge potential in terms of a unit vector field on the sphere bundle has been established. Using same local structure between SO(2) and U(1), SO(3) and SU(2) the general decomposition formula of U(1) and SU(2) gauge potential in terms of the unit vector field has been also given respectively
出处
《高能物理与核物理》
CSCD
北大核心
2001年第4期296-303,共8页
High Energy Physics and Nuclear Physics
基金
原子核理论研究中心基金
中国科学院近代物理研究所所长基金
国家教委留学回国基金!资助
