Gardado en:
| Autor Principal: | |
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| Formato: | Recurso digital |
| Idioma: | inglés |
| Publicado: |
Zenodo
2025
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| Subjects: | |
| Acceso en liña: | https://doi.org/10.5281/zenodo.15614088 |
| Tags: |
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Table of 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>