| _version_ | 1866901390185463808 |
|---|---|
| author | Morton, Andrew |
| author_facet | Morton, Andrew |
| contents | <p>This work analyzes a normalization ambiguity in projector-defined SU(2) gauge sectors, where projected response weights and stiffness inputs can be assigned to different microscopic sectors while preserving the same effective coupling. This freedom defines a sector-label degeneracy that prevents reconstruction of the underlying response kernel.</p> <p>Within a covariance-normalized quadratic-response class, we show that this degeneracy is removed: both scalar inputs arise as canonical contractions of a single projector-fixed quadratic parent via low-frequency Schur reduction. The result establishes a conditional single-parent closure of the normalization interface and identifies diagnostic signatures of hidden heavy-sector structure when the closure fails.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20042177 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Quadratic Closure of a Projector-Defined Gauge-Normalization Interface Morton, Andrew gauge normalization effective field theory Schur complement emergent gauge structure projector methods quadratic response SU(2) gauge theory microscopic reconstruction model degeneracy <p>This work analyzes a normalization ambiguity in projector-defined SU(2) gauge sectors, where projected response weights and stiffness inputs can be assigned to different microscopic sectors while preserving the same effective coupling. This freedom defines a sector-label degeneracy that prevents reconstruction of the underlying response kernel.</p> <p>Within a covariance-normalized quadratic-response class, we show that this degeneracy is removed: both scalar inputs arise as canonical contractions of a single projector-fixed quadratic parent via low-frequency Schur reduction. The result establishes a conditional single-parent closure of the normalization interface and identifies diagnostic signatures of hidden heavy-sector structure when the closure fails.</p> |
| title | Quadratic Closure of a Projector-Defined Gauge-Normalization Interface |
| topic | gauge normalization effective field theory Schur complement emergent gauge structure projector methods quadratic response SU(2) gauge theory microscopic reconstruction model degeneracy |
| url | https://doi.org/10.5281/zenodo.20042177 |