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arXiv:2103.06770 [math.AP]AbstractReferencesReviewsResources

Local well-posedness of the coupled Yang-Mills and Dirac system for low regularity data

Hartmut Pecher

Published 2021-03-11Version 1

We consider the classical Yang-Mills system coupled with a Dirac equation in 3+1 dimensions. Using that most of the nonlinear terms fulfill a null condition we prove local well-posedness for data with minimal regularity assumptions. This problem for smooth data was solved forty years ago by Y. Choquet-Bruhat and D. Christodoulou. Our result generalizes a similar result for the Yang-Mills equation by S. Selberg and A. Tesfahun.

Comments: 14 pages
Categories: math.AP
Subjects: 35Q40, 35L70
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