CDUFD Supplementary Material III: Critical Emergence of Gauge Fields– Heuristic Exploration and Conceptual Analysis
Year: 2026
Type: preprint
Abstract: This is the third supplementary material of the CDUFD qualitative framework. For the U(1) gauge field we give a formal derivation (Stückelberg mechanism) from the $U(1)_{B-L}$ subgroup of SO(8). For the SO(8) Yang–Mills field we only provide a heuristic exploration. A rigorous derivation from a four‑dimensional non‑linear sigma model to Yang–Mills theory does not exist; the known construction works in two dimensions only. Therefore the SO(8) gauge group is taken as an A5‑anchored input, and its critical emergence is listed as an open problem. All open problems are explicitly identified. The U(1) part yields the scaling law $1/g'^2 \sim \delta^{2\beta}$.
Author: Huang, Pengtai
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7159649071
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