Removable singularities for solutions of coupled Yang-Mills-Dirac equations
Removable singularities for solutions of coupled Yang-Mills-Dirac equations
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DOI：
10.1063/1.2354330
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发表时间：
2006-10
影响因子：
1.3
通讯作者：
W. Li
中科院分区：
文献类型：
--
作者：
W. Li
证明了紧致四维流形上耦合Yang-Mills-Dirac方程解的可移奇点定理。我们证明了当能量泛函是有限的情况下，满足具有点奇点的耦合方程的场与光滑场是规范等价的。这些假设是很自然的。仅对力场和与力场相互作用的粒子场设定保形不变条件。值得注意的是，没有对粒子场的导数作任何假设。
We prove a removable singularity theorem for solutions of coupled Yang-Mills-Dirac equations on compact four-dimensional manifolds. We show that a field satisfying the coupled equations with a point singularity is gauge equivalent to a smooth field if the energy functional is finite. The hypotheses are very natural. Only conformally invariant conditions are placed on force field and particle field interacting with the force field. It is noticeable that there is no assumption on the derivative of the particle field.