{
  "abstract": "We study the pole mass for a heavy quark probe in the Gross--Neveu model, at the first non-trivial order in the $1/N$ expansion. We show that this mass suffers from a perturbative renormalon ambiguity structurally similar to the one in QCD. The exact large $N$ solution leads however to an explicit expression for the pole mass which can be decoded as a trans-series, and we find that non-perturbative corrections cure the renormalon ambiguity. We also calculate the self-energy of the heavy quark beyond perturbation theory by using the OPE method with condensates, and show that the results are in agreement with the large $N$ solution. The non-perturbative corrections to the pole mass turn out to be determined to a large extent by the condensate corrections to the self-energy. However, there is a class of corrections that has to be reorganized due to on-shell effects and cannot be obtained from the conventional condensate expansion. We discuss possible implications of this toy model for QCD.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.10059",
  "author_total": 2,
  "authors": [
    {
      "name": "Marcos Marino"
    },
    {
      "name": "Maximilian Schwick"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/783mtp82rpnve.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.10059",
  "fulltext_url": null,
  "id": "783mtp82rpnve",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.10059",
  "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",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7220893811",
  "pdf_url": "https://arxiv.org/pdf/2610.10059",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/783mtp82rpnve.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2610.10059",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.10059"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "A toy model for the quark pole mass",
  "title_text": "A toy model for the quark pole mass",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:37Z",
  "url": "https://research.draconitic.com/paper/783mtp82rpnve",
  "venue": "arXiv",
  "versions": []
}