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| Main Author: | |
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| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19322837 |
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Table of Contents:
- <div> <p>This work develops a two-step closure scheme for the Yang-Mills mass gap problem in the official Clay Mathematics Institute framework. The analysis is carried out on the class of strict candidate theories defined by Osterwalder-Schrader reconstruction (including reflection positivity), a strictly positive mass gap, and an ultraviolet Yang-Mills starting point in a renormalized composite-operator basis.</p> </div> <div> <p>The central object is a renormalized DBI-type barrier node generated in the composite sector at the dynamically induced infrared scale. Within the same axiomatic setup, three internal ingredients are established: an energy-superselection contour step under a mass gap, FRG/BRST inevitability of a non-removable infinite composite tower, and OPE/Callan-Symanzik stability of the Osterwalder-Schrader form in the strict continuum limit.</p> </div> <div> <p>Two universal implications follow. First, every strict CMI candidate is forced into the renormalized barrier node. Second, every theory in that node is incompatible with reflection positivity in the strict continuum. Therefore, the strict solution set is empty. The final result is an axiomatic no-go statement formulated as a closed syllogism: CMI assumptions imply universal barrier reduction, which implies reflection-positivity conflict.</p> </div>