| _version_ | 1866901278320230400 |
|---|---|
| author | Francesco D'Agostino |
| author_facet | Francesco D'Agostino |
| contents | <p>This study proposes a knot‑based parameterization of non‑Abelian gauge fields is shown to enforce a nonzero Yang–Mills mass gap by embedding gluon self‑interactions into a fractal, space‑filling curve whose topological invariant \(\mathcal{I}(K)\) discretizes the configuration space. The resulting energy spectrum possesses a finite gap <br>\[<br>\Delta E \sim \frac{1}{\mathcal{I}(K)},<br>\]<br>with non‑perturbative QCD effects introducing only multiplicative corrections. This construction extends to all gauge theories in \(n\ge4\).</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15048537 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Knot-Based Gauge Fields and the Yang-Mills Mass Gap Francesco D'Agostino <p>This study proposes a knot‑based parameterization of non‑Abelian gauge fields is shown to enforce a nonzero Yang–Mills mass gap by embedding gluon self‑interactions into a fractal, space‑filling curve whose topological invariant \(\mathcal{I}(K)\) discretizes the configuration space. The resulting energy spectrum possesses a finite gap <br>\[<br>\Delta E \sim \frac{1}{\mathcal{I}(K)},<br>\]<br>with non‑perturbative QCD effects introducing only multiplicative corrections. This construction extends to all gauge theories in \(n\ge4\).</p> |
| title | Knot-Based Gauge Fields and the Yang-Mills Mass Gap |
| url | https://doi.org/10.5281/zenodo.15048537 |