{
  "abstract": "In this paper, three formulations of spin-$1/2$ Second-Order Pseudo-Hermitian quantum field theorIES (SOPHIES) are built from scratch from parity eigenstates. Pseudo-Hermiticity allows the unconstrained fields to satisfy either Fermi--Dirac or Bose--Einstein statistics, while self-conjugate Majorana-like fields are only compatible with Fermi--Dirac. The set of independent four dimension renormalizable self-interactions of the three theories are identified, and the one-loop renormalization of the unconstrained fermionic and bosonic theories coupled to an abelian gauge boson and enhanced with a Pauli term and including self-interactions is studied, together with the one-loop renormalization of the only independent quartic self-interaction of self-conjugate fields. The analysis leads to a rich set of Renormalization Group Equations with deep connections to known theories, like the Dirac formalism and the Klein--Gordon scalar through the fixed points of the Pauli coupling.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19172",
  "author_total": 4,
  "authors": [
    {
      "name": "I. Díaz-Saldaña"
    },
    {
      "name": "A. Gutiérrez-Rodríguez"
    },
    {
      "name": "Armando de la C. Rangel-Pantoja"
    },
    {
      "name": "Carlos A. Vaquera-Araujo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/43953hvgrp0g4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19172",
  "fulltext_url": null,
  "id": "43953hvgrp0g4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19172",
  "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",
      "3107|Quantum Mechanics and Non-Hermitian Physics"
    ]
  ],
  "openalex": "W7221960436",
  "pdf_url": "https://arxiv.org/pdf/2610.19172",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/43953hvgrp0g4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.19172",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19172"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "One-Loop Renormalization of Spin-$1/2$ SOPHIES",
  "title_text": "One-Loop Renormalization of Spin-1/2 SOPHIES",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/43953hvgrp0g4",
  "venue": "arXiv",
  "versions": []
}