{
  "abstract": "Self-similar solutions play an important role in the formation of singularities in the Yang--Mills equations. In five space dimensions, these equations admit infinitely many self-similar solutions with an increasing number of unstable modes. It was observed numerically that all excited profiles share the least unstable eigenvalue $λ=5$. We explain this remarkable spectral property by an elementary construction of the corresponding eigenfunction in terms of the profile.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04861",
  "author_total": 1,
  "authors": [
    {
      "name": "Piotr Bizoń"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9gfka1fesk3ch.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04861",
  "fulltext_url": null,
  "id": "9gfka1fesk3ch",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04861",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04861",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9gfka1fesk3ch.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.04861",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04861"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "An exact unstable mode of self-similar Yang--Mills solutionsin 5+1 dimensions",
  "title_text": "An exact unstable mode of self-similar Yang--Mills solutionsin 5+1 dimensions",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/9gfka1fesk3ch",
  "venue": "arXiv",
  "versions": []
}