Yang-Mills方程奇性的形成
Formation of singularities in Yang-Mills equations
摘要：
本文综述了高维球对称Yang-Mills方程解的奇异性形成的最新研究。主要的注意力集中在五个空间维度，因为这种情况下表现出有趣的相似之处爱因斯坦的方程在物理维度，特别是在奇点形成的门槛的动力学共享许多功能（如普适性，自相似性，和缩放）的关键现象在引力坍缩。四个空间维度的边界的情况下，也进行了分析和奇点的形成是密切相关的瞬子解的存在。
英文摘要：
This is a survey of recent studies of singularity formation in solutions of spherically symmetric Yang-Mills equations in higher dimensions. The main attention is focused on five space dimensions because this case exhibits interesting similarities with Einstein's equations in the physical dimension, in particular the dynamics at the threshold of singularity formation shares many features (such as universality, self-similarity, and scaling) with critical phenomena in gravitational collapse. The borderline case of four space dimensions is also analyzed and the formation of singularities is shown to be intimately tied to the existence of the instanton solution.
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