Local well-posedness for the (n+1)-dimensional Yang-Mills and Yang-Mills-Higgs system in temporal gauge

2015/06/08 by Hartmut Pecher, Pecher, Hartmut
Mathematics · Physics and Astronomy · #35L70 #35Q40 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Quantum Chromodynamics and Particle Interactions #math.AP #msc:35L70 #msc:35Q40

paper · pdf · doi:10.48550/arxiv.1506.02533

25 pages. Generalization to arbitrary dimensions for the Yang-Mills and Yang-Mills-Higgs systems

openalex publication_date 2015/06/08 · arxiv created 2016/05/05 · arxiv updated 2016/05/06 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

The Yang-Mills and Yang-Mills-Higgs equations in temporal gauge are locally well-posed for small and rough initial data, which can be shown using the null structure of the critical bilinear terms. This carries over a similar result by Tao for the Yang-Mills equations in the (3+1)-dimensional case to the more general Yang-Mills-Higgs system and to general dimensions.

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