{
  "abstract": "We derive the exact effective mass $m_{\\text{eff}}(0) = 2\\omega - m$ at the center of the 1+1D Soler soliton and show that its even parity forbids a Jackiw-Rebbi zero mode despite sign reversal: the topological index vanishes. One-loop fermion fluctuations restore the mechanism by generating an emergent O(2) symmetry in the $(\\sigma, \\pi)$ plane via a radiatively induced pseudoscalar $\\pi = \\bar{\\psi}\\gamma^5\\psi$. If the chiral anomaly breaks $U(1)_A$ to $\\mathbb{Z}_2$, a topological domain wall appears with JR index $-1$, supporting a normalizable chiral zero mode reversed under CPT. The $N_f = 2$ condition required by the anomaly is a topological consequence of the soliton's moduli structure. In this lower-dimensional laboratory, chirality emerges not from the classical soliton but from its quantum dressing — a mechanism whose structural ingredients (sign-reversing mass, radiative pseudoscalar, anomaly, index theorem) transfer individually to 3+1D. This is Emergence Paper II of the emergence programme. Emergence Paper I [22] derives the gauge groups and flavor structure from the soliton's moduli space; the present paper shows that the UV sector of the heat kernel $K(\\tau) = \\mathrm{Tr}(e^{-\\tau \\mathcal{D}^2})$ --- specifically, the Fujikawa regularization of the chiral anomaly --- generates the chiral asymmetry from the same soliton background. Emergence Paper III [23] extends the framework to baryon observables via the full proper-time integral of $K(\\tau)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Fabien Déchery"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9t6jpbv801kbs.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "9t6jpbv801kbs",
  "issns": [],
  "landing_url": "https://hal.science/hal-05751216v4",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.phys"
    ],
    [
      "hal",
      "1.phys.hphe"
    ],
    [
      "hal",
      "1.phys.hthe"
    ],
    [
      "hal",
      "1.phys.nucl"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05751216/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9t6jpbv801kbs.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:02Z",
      "native_id": "hal-05751216",
      "source": "hal",
      "url": "https://hal.science/hal-05751216v4"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "hal:1.phys.hphe",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "hal:1.phys.nucl",
      "subfield": "nuclear"
    }
  ],
  "title": "Emergent Chirality from Radiative Pseudoscalar Generation in Nonlinear Spinor Solitons",
  "title_text": "Emergent Chirality from Radiative Pseudoscalar Generation in Nonlinear Spinor Solitons",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:02Z",
  "url": "https://research.draconitic.com/paper/9t6jpbv801kbs",
  "venue": "HAL",
  "versions": []
}