{
  "abstract": "It is known that the spacetime metric can be recovered from quantum-field correlators. We extend this programme by showing that the Einstein tensor can be directly written in terms of UV-regulated field correlations. The same correlation structure also directly determines the Ricci tensor, while higher coincidence derivatives recover the connection and Riemann tensor. We further show that the renormalized stress-energy tensor can be formulated within this framework, up to the standard finite renormalization freedom. These results provide a correlation-based organization of the semiclassical Einstein equations and advance the programme of formulating spacetime geometry in terms of quantum field correlations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05558",
  "author_total": 2,
  "authors": [
    {
      "name": "Matheus H. Zambianco"
    },
    {
      "name": "Achim Kempf"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c2fw2qsj25e75.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05558",
  "fulltext_url": null,
  "id": "c2fw2qsj25e75",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05558",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3103|Relativity and Gravitational Theory"
    ]
  ],
  "openalex": "W7211986432",
  "pdf_url": "https://arxiv.org/pdf/2609.05558",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c2fw2qsj25e75.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.05558",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05558"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "The Einstein Tensor from UV-regulated Field Correlations",
  "title_text": "The Einstein Tensor from UV-regulated Field Correlations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/c2fw2qsj25e75",
  "venue": "arXiv",
  "versions": []
}