{
  "abstract": "When topological solitons are coupled to fermions, they often induce a nontrivial fermion number. In the chiral quark soliton model (CQSM), this phenomenon underlies the identification of soliton topology with baryon number. However, whether this topology--fermion-number correspondence is determined solely by soliton topology or also depends on the fermion--soliton coupling scheme remains unclear. In this paper, we investigate this question by comparing several coupling schemes to the same $\\mathrm{SU}(N)$ chiral soliton background. To treat the corresponding Dirac Hamiltonians within a common framework, we evaluate the variation of the regularized fermion-number along a model-parameter space. For the standard chiral Yukawa coupling of the CQSM, this variation reproduces the topological charge $Q$ associated with $π_3(\\mathrm{SU}(N))$. The same result is obtained for an axial-vector coupling, whereas the fermion number variation vanishes for a vector coupling, despite the nontrivial topology of the chiral soliton background. These results provide an explicit example in which soliton topology alone does not determine the fermionic response; the topology--fermion-number correspondence also depends on how the background field is coupled to fermions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29632",
  "author_total": 2,
  "authors": [
    {
      "name": "Nobuyuki Sawado"
    },
    {
      "name": "Shintaro Yamamoto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/51697eqv9jj6c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29632",
  "fulltext_url": null,
  "id": "51697eqv9jj6c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29632",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7223197128",
  "pdf_url": "https://arxiv.org/pdf/2610.29632",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/51697eqv9jj6c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:19Z",
      "native_id": "2610.29632",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29632"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Fermion-Number Variation for Several Coupling Schemes in an $\\mathrm{SU}(N)$ Chiral Soliton Background",
  "title_text": "Fermion-Number Variation for Several Coupling Schemes in an SU(N) Chiral Soliton Background",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/51697eqv9jj6c",
  "venue": "arXiv",
  "versions": []
}