{
  "abstract": "We investigate spontaneous chiral-symmetry breaking in four-dimensional (4D) QCD in the dimensional reduction (DR) gauge, defined so as to minimize $R_{\\mathrm{DR}}\\equiv~\\int d^{4}s ~ \\mathrm{Tr} \\left[ A_{x}^{2}(s) + A_{y}^{2}(s) \\right]$. We consider ``$tz$-projection\" of $A_{x,y}(s) \\to 0$ and ``$xy$-projection\" of $A_{t,z}(s) \\to 0$, respectively, for the gauge configuration generated in the DR gauge, in a similar sense to Abelian, monopole and photon projections in the maximally Abelian gauge. The chiral condensate is estimated from the low-lying Dirac-eigenvalue density $ρ(λ)$ using the Banks-Casher relation. By the $tz$-projection in the DR gauge, the chiral condensate is largely reserved. In contrast, the chiral condensate becomes zero by the $xy$-projection in the DR gauge. This indicates that $A_{t}(s)$ and $A_{z}(s)$ play a dominant role, while $A_{x}(s)$ and $A_{y}(s)$ play no role, in spontaneous chiral-symmetry breaking in the DR gauge.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30850",
  "author_total": 2,
  "authors": [
    {
      "name": "Kei Tohme"
    },
    {
      "name": "Hideo Suganuma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0dtj54d22y5v6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30850",
  "fulltext_url": null,
  "id": "0dtj54d22y5v6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30850",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-lat"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7223283892",
  "pdf_url": "https://arxiv.org/pdf/2610.30850",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0dtj54d22y5v6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.30850",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30850"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Spontaneous chiral-symmetry breaking in four-dimensional QCD with $A_x=A_y=0$ projection in dimensional reduction gauge",
  "title_text": "Spontaneous chiral-symmetry breaking in four-dimensional QCD with A_x=A_y=0 projection in dimensional reduction gauge",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/0dtj54d22y5v6",
  "venue": "arXiv",
  "versions": []
}