General decomposition theory of SO(n) gauge potential

Authors
Li, XG Duan, YS Song, JJ
Citation
Xg. Li et al., General decomposition theory of SO(n) gauge potential, HIGH EN P N, 25(4), 2001, pp. 296-303
Citations number
21
Categorie Soggetti
Physics
Journal title
HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION
ISSN journal
02543052 → ACNP
Volume
25
Issue
4
Year of publication
2001
Pages
296 - 303
Database
ISI
SICI code
0254-3052(200104)25:4<296:GDTOSG>2.0.ZU;2-D
Abstract
By means of devices of geometry algebra the general decomposition of gauge potential (spin connection) on a compact n-dimension Riemannian manifold ha s been studied in detail. A general decomposition formula of SO(n) gauge po tential in terms of a unit vector field on the sphere bundle has been estab lished. 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 term s of the unit vector field has been also given respectively.