Emergent Chirality from Radiative Pseudoscalar Generation in Nonlinear Spinor Solitons
Abstract
We derive the exact effective mass meff(0) = 2ω − 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 (σ, π) plane via a radiatively induced pseudoscalar π = ψ̅γ5ψ. If the chiral anomaly breaks U(1)A to ℤ2, a topological domain wall appears with JR index −1, supporting a normalizable chiral zero mode reversed under CPT. The Nf = 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(τ) = Tr(e−τ 𝒟2) --- 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(τ).
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BibTeX
@misc{dechery2026emergent,
title = {{Emergent Chirality from Radiative Pseudoscalar Generation in Nonlinear Spinor Solitons}},
author = {Fabien Déchery},
howpublished = {HAL},
year = {2026},
month = sep,
url = {https://hal.science/hal-05751216v4},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Emergent Chirality from Radiative Pseudoscalar Generation in Nonlinear Spinor Solitons
AU - Fabien Déchery
PY - 2026
DA - 2026/09/15
PB - HAL
UR - https://hal.science/hal-05751216v4
AB - We derive the exact effective mass m_eff(0) = 2ω − 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 (σ, π) plane via a radiatively induced pseudoscalar π = ψ̅γ^5ψ. If the chiral anomaly breaks U(1)_A to 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(τ) = Tr(e^−τ 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(τ).
ER -