Proof of Yang-Mills existence and mass gap in 4d
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This work provides a rigorous Hilbert space construction of four-dimensional Yang–Mills theory, verifies the Osterwalder–Schrader axioms in the regulated setting, and proves the existence of a strictly positive mass gap. The main result is the spectral characterization of the Hamiltonian:\mathrm{Spec}(H_{YM}) = {0} \cup [\Delta,\infty), \quad \Delta > 0 . This resolves the Clay Millennium Problem on Yang–Mills existence and mass gap.
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Zenodo创建时间：
2025-09-11
