{
  "abstract": "Many-body physics faces an apparent paradox concerning violations of Luttinger's theorem in strongly correlated systems. The theorem relates the electron number to the Luttinger count -- the monodromy of the logarithm of the imaginary-frequency Green's function $G(iε)$ -- and, at finite magnetic field, connects the Hall conductivity to the magnetic-field derivative of the Luttinger count via the Streda formula. Here, we provide a non-perturbative solution to this paradox. We demonstrate that the reported violations of Luttinger's theorem do not require a breakdown of the skeleton diagram representation of physical quantities, thereby resolving a long-standing point of contention in many-body theory. Furthermore, we show that the Luttinger integral, which accounts for the mismatch between the particle number and the Luttinger count, is itself a genuine topological invariant directly tied to the Luttinger-Ward functional $Φ[G]$ rather than to the Green's function alone. We demonstrate that this invariant, like the monodromy of $\\ln G(iε)$ itself, stems exclusively from the zero-frequency discontinuity of the Matsubara trajectory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07933",
  "author_total": 4,
  "authors": [
    {
      "name": "Nazzareno Africani"
    },
    {
      "name": "Herbert Eßl"
    },
    {
      "name": "Alessandro Toschi"
    },
    {
      "name": "Michele Fabrizio"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6dj64kc06m67j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07933",
  "fulltext_url": null,
  "id": "6dj64kc06m67j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07933",
  "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",
      "cond-mat.str-el"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07933",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6dj64kc06m67j.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:30Z",
      "native_id": "2611.07933",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07933"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Non-Perturbative Resolution of Luttinger's Theorem Violations in Strongly Correlated Systems",
  "title_text": "Non-Perturbative Resolution of Luttinger's Theorem Violations in Strongly Correlated Systems",
  "type": "preprint",
  "updated_at": "2026-11-08T21:20:39Z",
  "url": "https://research.draconitic.com/paper/6dj64kc06m67j",
  "venue": "arXiv",
  "versions": []
}