Yang–Mills Mass Gap — Formal Reconstruction via Spectral Operator Coercivity
Fuente:
Zenodo
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Langue: | anglais |
| Publié: |
Zenodo
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866901124225695744 |
|---|---|
| author | TSUCHIYA, HIROSHI |
| author_facet | TSUCHIYA, HIROSHI |
| contents | <p>This paper provides a constructive resolution of the Yang–Mills Mass Gap problem in four-dimensional space. By analyzing the spectral structure of the quantum Yang–Mills Hamiltonian in the Coulomb gauge, the work shows that the gauge-invariant Laplacian admits a strictly positive first non-zero eigenvalue, thereby establishing a mass gap Δ > 0 above the vacuum. The argument employs Sobolev compactness, a nonlinear Poincaré inequality, and operator coercivity, avoiding lattice approximations and providing a direct analytic proof of spectral separation.</p> <p> <strong>Related repositories</strong>:</p> <ul> <li> <p><a href="https://github.com/jarvis-HT/fold-structural-series" target="_new" rel="noopener">https://github.com/jarvis-HT/fold-structural-series</a></p> </li> <li> <p><a href="https://github.com/jarvis-HT/fold-formal-series" target="_new" rel="noopener">https://github.com/jarvis-HT/fold-formal-series</a></p> </li> </ul> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15614088 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Yang–Mills Mass Gap — Formal Reconstruction via Spectral Operator Coercivity TSUCHIYA, HIROSHI Yang–Mills Mass Gap Spectral Theory Gauge Fields Functional Analysis <p>This paper provides a constructive resolution of the Yang–Mills Mass Gap problem in four-dimensional space. By analyzing the spectral structure of the quantum Yang–Mills Hamiltonian in the Coulomb gauge, the work shows that the gauge-invariant Laplacian admits a strictly positive first non-zero eigenvalue, thereby establishing a mass gap Δ > 0 above the vacuum. The argument employs Sobolev compactness, a nonlinear Poincaré inequality, and operator coercivity, avoiding lattice approximations and providing a direct analytic proof of spectral separation.</p> <p> <strong>Related repositories</strong>:</p> <ul> <li> <p><a href="https://github.com/jarvis-HT/fold-structural-series" target="_new" rel="noopener">https://github.com/jarvis-HT/fold-structural-series</a></p> </li> <li> <p><a href="https://github.com/jarvis-HT/fold-formal-series" target="_new" rel="noopener">https://github.com/jarvis-HT/fold-formal-series</a></p> </li> </ul> |
| title | Yang–Mills Mass Gap — Formal Reconstruction via Spectral Operator Coercivity |
| topic | Yang–Mills Mass Gap Spectral Theory Gauge Fields Functional Analysis |
| url | https://doi.org/10.5281/zenodo.15614088 |