{
  "abstract": "We investigate the chiral separation effect (CSE) and the axial-partner susceptibility splittings within the three-flavor Nambu--Jona-Lasinio (NJL) model, providing two complementary aspects of axial dynamics in hot and dense magnetized matter. We compare a field-dependent scalar coupling, which leads to inverse magnetic catalysis (IMC), with a constant coupling, which exhibits magnetic catalysis (MC). In the weak-field limit, the CSE conductivity is suppressed at low temperature and approaches its chiral-limit value as the temperature increases. Its magnetic-field dependence is reversed between the IMC and MC scenarios. On the other hand, the susceptibility splittings $Δ_A = χ_{π^0} - χ_{δ^0}$ and $Δχ= χ_{π^0} -χ_{σ_l}$ are suppressed at high temperature or density, reflecting the substantial restoration of axial symmetries. Their difference develops a pronounced peak near the cross-over or first-order transition, implying that the $U(1)_A^{(0)}$ and $U(1)_A^{(3)}$ symmetries are restored at different temperatures or chemical potentials. Both the weak-field CSE and the IMC susceptibility splittings at vanishing chemical potential agree qualitatively with lattice-QCD calculations. We also provide model predictions for the susceptibility splittings at finite density.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.39886",
  "author_total": 5,
  "authors": [
    {
      "name": "Xin-Nan Zhu"
    },
    {
      "name": "Xin-Li Sheng"
    },
    {
      "name": "Shu-Yun Yang"
    },
    {
      "name": "Shijun Mao"
    },
    {
      "name": "Defu Hou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aq5e9ktp220ca.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.39886",
  "fulltext_url": null,
  "id": "aq5e9ktp220ca",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.39886",
  "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"
    ],
    [
      "openalex",
      "3106|High-Energy Particle Collisions Research"
    ]
  ],
  "openalex": "W7215044332",
  "pdf_url": "https://arxiv.org/pdf/2609.39886",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/aq5e9ktp220ca.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.39886",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.39886"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Axial Symmetry Breaking and Chiral Separation Effect in Nambu-Jona-Lasinio Model",
  "title_text": "Axial Symmetry Breaking and Chiral Separation Effect in Nambu-Jona-Lasinio Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/aq5e9ktp220ca",
  "venue": "arXiv",
  "versions": []
}