{
  "abstract": "We present a non-perturbative Ward-identity prescription for determining the flowed quark field renormalization factor $Z_χ$, avoiding the computational difficulties of the conventional ringed prescription. The method is based on vector-current normalization and ratios of flowed and unflowed meson two-point functions. We determine the resulting $\\mathring{Z}_χ^{V}(t_f,a)$ on five $2+1$-flavor clover ensembles and validate it in the pseudoscalar, scalar, axial-vector, and tensor channels. Renormalized matrix elements obtained through sequential continuum and zero-flow-time extrapolations agree with independent RI/MOM and RI/SMOM determinations. The finite-lattice-spacing bilinear renormalization factors show differences that decrease toward finer lattices, reflecting the different discretization effects of the renormalization methods. The cross-channel agreement demonstrates the viability of the proposed prescription; together, the method and its systematic validation establish a robust foundation for the non-perturbative renormalization of flowed fermionic operators in future lattice calculations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23379",
  "author_total": 5,
  "authors": [
    {
      "name": "Mei-Qi Gao"
    },
    {
      "name": "Long-cheng Gui"
    },
    {
      "name": "Jun Hua"
    },
    {
      "name": "Jian Liang"
    },
    {
      "name": "Jun Shi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/831yba3e3pp2z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23379",
  "fulltext_url": null,
  "id": "831yba3e3pp2z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23379",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-lat"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7214017204",
  "pdf_url": "https://arxiv.org/pdf/2609.23379",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/831yba3e3pp2z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.23379",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23379"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Flowed quark field renormalization in lattice QCD: A Ward-identity approach and its validation using quark bilinears",
  "title_text": "Flowed quark field renormalization in lattice QCD: A Ward-identity approach and its validation using quark bilinears",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/831yba3e3pp2z",
  "venue": "arXiv",
  "versions": []
}