Uniform Spectral Gap and Renormalization Stability in Lattice Yang–Mills Theory
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2026
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| _version_ | 1866901736128512000 |
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| author | Simita Roland |
| author_facet | Simita Roland |
| contents | <p>This record presents the technical preprint Uniform Spectral Gap and Renormalization Stability in Lattice Yang–Mills Theory.</p> <p>The manuscript develops a strict supplied-data architecture and proof map for studying spectral-gap persistence in lattice Yang–Mills theory and its controlled passage toward a physical continuum formulation. The work is organized around a finite gate structure: Euclidean finite certificates, the physical Osterwalder–Schrader bridge, full non-vacuum sector control, COSL continuum passage, QFT object identity, theorem-scope restriction, and final no-overclaim audit.</p> <p>The manuscript includes the Wilson lattice setup, auxiliary heat-bath and blocked contraction estimates, local coercivity and finite-certificate ledgers, same-sector Osterwalder–Schrader comparison, sector-total and no-escape alternatives, renormalization-stability gates, and a unified supplied-data closure ledger.</p> <p>A central purpose of the document is to separate proof architecture, reduced certificates, and unconditional theorem release. The manuscript does not identify auxiliary heat-bath dynamics with the physical Osterwalder–Schrader transfer operator, and it does not assert an unconditional solution of the Yang–Mills mass gap problem unless the complete actual-source chain is explicitly supplied and verified.</p> <p>The present record should therefore be read as a rigorous proof-map and supplied-data framework for the Yang–Mills mass gap problem, with the remaining theorem-release requirements localized into named auditable packets.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20237227 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Uniform Spectral Gap and Renormalization Stability in Lattice Yang–Mills Theory Simita Roland Yang–Mills theory Mass gap Four-dimensional gauge theory Hamiltonian formulation Lattice gauge theory Spectral gap Gauss constraint Mathematical physics Renormalization group Osterwalder–Schrader reconstruction Transfer operator Wilson lattice Functional analysis Constructive quantum field theory Hamiltonian formulation Proof map <p>This record presents the technical preprint Uniform Spectral Gap and Renormalization Stability in Lattice Yang–Mills Theory.</p> <p>The manuscript develops a strict supplied-data architecture and proof map for studying spectral-gap persistence in lattice Yang–Mills theory and its controlled passage toward a physical continuum formulation. The work is organized around a finite gate structure: Euclidean finite certificates, the physical Osterwalder–Schrader bridge, full non-vacuum sector control, COSL continuum passage, QFT object identity, theorem-scope restriction, and final no-overclaim audit.</p> <p>The manuscript includes the Wilson lattice setup, auxiliary heat-bath and blocked contraction estimates, local coercivity and finite-certificate ledgers, same-sector Osterwalder–Schrader comparison, sector-total and no-escape alternatives, renormalization-stability gates, and a unified supplied-data closure ledger.</p> <p>A central purpose of the document is to separate proof architecture, reduced certificates, and unconditional theorem release. The manuscript does not identify auxiliary heat-bath dynamics with the physical Osterwalder–Schrader transfer operator, and it does not assert an unconditional solution of the Yang–Mills mass gap problem unless the complete actual-source chain is explicitly supplied and verified.</p> <p>The present record should therefore be read as a rigorous proof-map and supplied-data framework for the Yang–Mills mass gap problem, with the remaining theorem-release requirements localized into named auditable packets.</p> |
| title | Uniform Spectral Gap and Renormalization Stability in Lattice Yang–Mills Theory |
| topic | Yang–Mills theory Mass gap Four-dimensional gauge theory Hamiltonian formulation Lattice gauge theory Spectral gap Gauss constraint Mathematical physics Renormalization group Osterwalder–Schrader reconstruction Transfer operator Wilson lattice Functional analysis Constructive quantum field theory Hamiltonian formulation Proof map |
| url | https://doi.org/10.5281/zenodo.20237227 |