{
  "abstract": "We derive the tree-level interaction vertices of the linear sigma model with quarks in the presence of global rotation. Starting from the scalar and fermionic field solutions in a rotating background, we construct the corresponding spectral representations and use them to evaluate the mesonic self-interactions and Yukawa couplings of the model. We show that rotation modifies the usual momentum-space structure of the interaction vertices: conservation of longitudinal momentum is accompanied by angular-momentum selection rules, while the transverse dynamics is encoded in rotation-induced radial form factors involving products of Bessel functions. The resulting expressions provide a set of interaction rules adapted to the symmetries and finite geometry of the rotating system. Although derived within the linear sigma model with quarks, the structures obtained for scalar self-interactions and scalar-fermion couplings can be extended to a broader class of quantum field theories under global rotation. These results provide the building blocks for perturbative calculations and contribute toward a microscopic quantum-field-theoretical description of interacting matter in rotating environments.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01760",
  "author_total": 3,
  "authors": [
    {
      "name": "Luis A. Hernández"
    },
    {
      "name": "Eduardo Lazcano"
    },
    {
      "name": "R. Zamora"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0x2yjqyzsamsk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01760",
  "fulltext_url": null,
  "id": "0x2yjqyzsamsk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.01760",
  "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-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.01760",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0x2yjqyzsamsk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:03Z",
      "native_id": "2610.01760",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01760"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Tree-Level Interaction Vertices in the Linear Sigma Model with Quarks under Global Rotation",
  "title_text": "Tree-Level Interaction Vertices in the Linear Sigma Model with Quarks under Global Rotation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:03Z",
  "url": "https://research.draconitic.com/paper/0x2yjqyzsamsk",
  "venue": "arXiv",
  "versions": []
}