{
  "abstract": "The hopping expansion is an important approximation of the quark propagator in lattice quantum chromodynamics, but it diverges for light quarks, which limits the scope of strong-coupling and finite-density simulations. We present an artificial scientific discovery framework using gauge-equivariant neural networks in the Clifford basis to extract interpretable approximations. Our approach yields improved low-order approximations that outperform the hopping expansion at identical computational cost. In the parameter regime where the hopping expansion fails, our approach identifies convergent behavior, thus suggesting a novel series expansion. The discovered approximations generalize to unseen gauge fields and volumes, enabling immediate implementation as plug-in replacements and a new theoretical understanding of quark-propagator expansions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06612",
  "author_total": 5,
  "authors": [
    {
      "name": "Simon Pfahler"
    },
    {
      "name": "Maren Käfferlein"
    },
    {
      "name": "Daniel Knüttel"
    },
    {
      "name": "Christoph Lehner"
    },
    {
      "name": "Tilo Wettig"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5ae805a1r4p02.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06612",
  "fulltext_url": null,
  "id": "5ae805a1r4p02",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06612",
  "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-lat"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7220735384",
  "pdf_url": "https://arxiv.org/pdf/2610.06612",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5ae805a1r4p02.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.06612",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06612"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Learning Low-Order Approximations of the Quark Propagator in Lattice QCD",
  "title_text": "Learning Low-Order Approximations of the Quark Propagator in Lattice QCD",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/5ae805a1r4p02",
  "venue": "arXiv",
  "versions": []
}