The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space
The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space
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4维Minkowski空间中Yang-Mills-Higgs场的整体存在性
DOI：
10.1007/bf01976041
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发表时间：
1982
影响因子：
2.4
通讯作者：
V. Moncrief
中科院分区：
文献类型：
--
作者：
D. Eardley;V. Moncrief
本文通过证明解的适当范数不会在有限时间内爆破，完成了四维Minkowski空间中杨米尔斯希格斯场整体存在性的证明。证明中的一个关键步骤是证明曲率的L ∞范数是先验有界的。我们的结果适用于任何紧凑的规范组和任何不变的希格斯自耦合是积极的，不高于四次。
In this paper we complete the proof of global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space by showing that an appropriate norm of the solutions cannot blow up in a finite time. A key step in the proof is the demonstration that theL∞ norm of the curvature is boundeda priori. Our results apply to any compact guage group and to any invariant Higgs self-coupling which is positive and of no higher than quartic degree.