Abstract
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.
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Eardley, D. M., Moncrief, V.: Commun. Math. Phys.
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Communicated by A. Jaffe
Supported in part by the National Science Foundation (Grant No. PHY79-16482 at Yale, Grant No. PHY77-27084 at Santa Barbara)
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Eardley, D.M., Moncrief, V. The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. Commun.Math. Phys. 83, 193–212 (1982). https://doi.org/10.1007/BF01976041
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DOI: https://doi.org/10.1007/BF01976041