{
  "id": "2103.06770",
  "version": "v1",
  "published": "2021-03-11T16:24:09.000Z",
  "updated": "2021-03-11T16:24:09.000Z",
  "title": "Local well-posedness of the coupled Yang-Mills and Dirac system for low regularity data",
  "authors": [
    "Hartmut Pecher"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-11T16:24:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35L70"
    ],
    "keywords": [
      "low regularity data",
      "local well-posedness",
      "dirac system",
      "coupled yang-mills",
      "nonlinear terms fulfill"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}