{
  "abstract": "Using the exact renormalization group (functional RG) formalism, we construct the energy-momentum tensor of a four-Fermi theory in the Euclidean space of dimensions 2 < D < 4 in the large N limit, where N is the number of Dirac fields. The energy-momentum tensor is a functional of the Dirac fields, and its cutoff dependence is controlled by the exact RG equation. In the zero cutoff limit the functional reduces to the one-particle-irreducible effective action with a single insertion of the energy-momentum tensor. At a finite cutoff the energy-momentum tensor satisfies the Ward-Takahashi identity for translation invariance, and its antisymmetric part is determined by rotation invariance. We also show that the critical theory is conformally invariant by deriving the corresponding Ward-Takahashi identity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.20054",
  "author_total": 2,
  "authors": [
    {
      "name": "Carlo Pagani"
    },
    {
      "name": "Hidenori Sonoda"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2rcydkcntk2zw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20054",
  "fulltext_url": null,
  "id": "2rcydkcntk2zw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.20054",
  "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"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7213588290",
  "pdf_url": "https://arxiv.org/pdf/2609.20054",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2rcydkcntk2zw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:19Z",
      "native_id": "2609.20054",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20054"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Explicit construction of the energy-momentum tensor in the large N limit of a four-Fermi theory",
  "title_text": "Explicit construction of the energy-momentum tensor in the large N limit of a four-Fermi theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:19Z",
  "url": "https://research.draconitic.com/paper/2rcydkcntk2zw",
  "venue": "arXiv",
  "versions": []
}