Local well-posedness of the coupled Yang-Mills and Dirac system for low regularity data
Analysis of PDEs
2021-12-08 v7
Abstract
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.
Cite
@article{arxiv.2103.06770,
title = {Local well-posedness of the coupled Yang-Mills and Dirac system for low regularity data},
author = {Hartmut Pecher},
journal= {arXiv preprint arXiv:2103.06770},
year = {2021}
}
Comments
24 pages. The proof of one of the bilinear estimates was corrected