{
  "abstract": "In this paper, we study Einstein-Dirac system based on a Dirac fermion coupled with a nonlinear chiral field on static spherically symmetric spacetime. Gravitational effects on the dynamical mass of fermions are examined. The chiral quark soliton model (CQSM) originally was a model of hadron inspired by the low-energy regime of large-$N_\\textrm{c}$ QCD, realizing localized fermions with the full inclusion of the Dirac-sea, which is derived from a regularized one-fermion loop. We extend the CQSM in spherically symmetric curved spacetime and coupled with the Einstein gravity. We successfully solve the CQSM and the Einstein equation self-consistently, and obtain the spectral flow of the fermion energies and also of the ADM mass. The Dirac-sea dilutes the effect of the energy-momentum tensor, which induces an inactive point for the impact of gravity even when the localizing matter exists. The Dirac-sea effect becomes dominant for larger dynamical mass $M\\sim \\langle\\barψψ\\rangle$, leading to the emergence of the negative ADM mass.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24159",
  "author_total": 3,
  "authors": [
    {
      "name": "Ryoma Mizutani"
    },
    {
      "name": "Daiki Niiyama"
    },
    {
      "name": "Nobuyuki Sawado"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4bqe7g8w5db0s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24159",
  "fulltext_url": null,
  "id": "4bqe7g8w5db0s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.24159",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3103|Relativity and Gravitational Theory"
    ]
  ],
  "openalex": "W7214018358",
  "pdf_url": "https://arxiv.org/pdf/2609.24159",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4bqe7g8w5db0s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2609.24159",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24159"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Soliton solution of a gravitating chiral quark soliton model: dynamical fermion and Dirac-sea in general relativity",
  "title_text": "Soliton solution of a gravitating chiral quark soliton model: dynamical fermion and Dirac-sea in general relativity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/4bqe7g8w5db0s",
  "venue": "arXiv",
  "versions": []
}