A Reflection-Positive Construction of a Subsequential SU(2) Yang–Mills Osterwalder–Schrader Theory with Positive Mass Gap and Renormalized Distributional Schwinger–Dyson Identity

This manuscript presents a proposed reflection-positive construction framework for a subsequential SU(2) Yang–Mills Osterwalder–Schrader continuum theory with positive Hamiltonian mass gap and renormalized distributional Schwinger–Dyson Yang–Mills identity. The construction proceeds through finite Wilson lattice measures, probability-normalized polymer control, screened good-slab influence estimates, uniform Dobrushin subcriticality, finite Osterwalder–Schrader transfer-gap structure, reflected-tube nontriviality, Ward/Symanzik identification, and subsequential continuum Osterwalder–Schrader gap passage. The result is explicitly subsequential and specific to SU(2). No uniqueness of the continuum limit is claimed. The Yang–Mills equation is interpreted only in the renormalized distributional Schwinger–Dyson sense arising from the reconstructed Osterwalder–Schrader functional; no pointwise classical Yang–Mills field equation is asserted. This record includes the compiled manuscript PDF, the LaTeX source archive exported from Overleaf, and a README file describing the deposit contents.