摘要
The method used to construct the SU(2) Yang-Mills field on a compactified Minkowski space $\overline M $ (which is equivalent to the conformal space) is generalized to construct an SU(N)(N > 2) Yang-Mills field F jk on $\overline M $ . It is proved that both F jk and the invariant metric tensor g jk of $\overline M $ satisfy the Einstein-Yang-Mills equation. The case of N → ∞ is also discussed.
The method used to construct the SU(2) Yang-Mills field on a compactified Minkowski space-M(which is equivalent to the conformal space) is generalized to construct an SU(N)(N > 2) Yang-Mills fieldFjκ on M. It is proved that both Fjκ and the invariant metric tensor gjκ of M satisfy the Einstein-Yang-Mills equation. The case of N →∞ is also discussed.
基金
This work was partially supported by the Ministry of Science and Technology, the National Natural Science Foundation of China (Grant No.19631010)
Fundamental Research Bureau of CAS.
作者简介
LU Qikeng(陆启铿):e-mail:luqik@public.bta.net.cn