Instanton–Knot Correspondence in Semi-Classical Gauge Theories
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| Format: | Recurso digital |
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2025
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| _version_ | 1866902042377715712 |
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| author | Francesco D'Agostino |
| author_facet | Francesco D'Agostino |
| contents | <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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15065633 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Instanton–Knot Correspondence in Semi-Classical Gauge Theories Francesco D'Agostino <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> |
| title | Instanton–Knot Correspondence in Semi-Classical Gauge Theories |
| url | https://doi.org/10.5281/zenodo.15065633 |