{
  "abstract": "We construct the causal fermion system for globally hyperbolic spacetimes starting in the framework of algebraic quantum field theory. The fermionic projector is identified with the one-particle density operator of a quasi-free Hadamard state. The ultraviolet regularization is built into the fermionic projector via a chart-independent $i\\varepsilon$-regularization scheme. The continuum limit analysis is developed in globally hyperbolic spacetimes. It is shown that the Euler-Lagrange equations of the causal action principle are satisfied in this setup if and only if the coupled Einstein-Dirac equations hold.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Lett Math Phys 116 (2026) 137, 47pp",
  "arxiv": "2605.30199",
  "author_total": 2,
  "authors": [
    {
      "name": "Felix Finster"
    },
    {
      "name": "Patrick Fischer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/53wd28ev3cf10.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.30199",
  "fulltext_url": null,
  "id": "53wd28ev3cf10",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.30199",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.30199",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/53wd28ev3cf10.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2605.30199",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.30199"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "The Continuum Limit Analysis of Causal Fermion Systems for Curved Spacetimes",
  "title_text": "The Continuum Limit Analysis of Causal Fermion Systems for Curved Spacetimes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/53wd28ev3cf10",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1007/s11005-026-02168-3",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}