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A global solution of the Einstein-Yang-Mills equation on the conformal space 被引量:1

A global solution of the Einstein-Yang-Mills equation on the conformal space
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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.
作者 陆启铿
出处 《Science China Mathematics》 SCIE 2002年第3期342-355,共14页 中国科学:数学(英文版)
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.
关键词 Einstein-Yang-Mills equation su(N)-connection conformal space large N limit Einstein-Yang-Mills equaton, su(N)-connection, conformal space, large N limit.
作者简介 LU Qikeng(陆启铿):e-mail:luqik@public.bta.net.cn
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