| SO(n)规范势的可分解理论 |
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| 引用本文： | 李希国,段一士,宋建军.SO(n)规范势的可分解理论[J].中国物理 C,2001,25(4):296-303. |
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| 作者姓名： | 李希国 段一士 宋建军 |
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| 作者单位： | [1]兰州重离子加速器国家实验室原子核理论研究中心，兰州730000 [2]兰州大学理论物理研究所，兰州730000 |
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| 基金项目： | 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 |
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| 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.
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| 关 键 词： | SO(n)群 自旋联络 规范场 |
| 收稿时间： | 2000-5-19 |
General Decomposition Theory of SO(n) Gauge Potential |
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| LI Xi-Guo,DUAN Yi-Shi,SONG Jian-jun.General Decomposition Theory of SO(n) Gauge Potential[J].High Energy Physics and Nuclear Physics,2001,25(4):296-303. |
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| Authors: | LI Xi-Guo DUAN Yi-Shi SONG Jian-jun |
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| Abstract: | 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 |
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| Keywords: | SO(n) group spin connection gauge field |
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