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| Natura: | Recurso digital |
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Zenodo
2025
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| Accesso online: | https://doi.org/10.5281/zenodo.15065633 |
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Sommario:
- <p>A topological classification of nonperturbative gauge configurations via an integer–valued knot invariant \( I(K) \) is developed. The configuration space decomposes into disjoint knot sectors, yielding a block–diagonal operator algebra, discrete vacuum energy splitting \( \Delta E \sim 1/I(K) \), and sector–dependent renormalization group flow. Instanton tunneling amplitudes acquire knot–dependent corrections \( \mathcal{A}_K \sim e^{-S_0 - \delta S(I(K))} \), enforcing confinement without spontaneous symmetry breaking. Quantized shifts in lattice observables, mass gaps, and decay rates provide definitive, testable signatures of knotted gauge fields.</p>