A Uniform Strong-Coupling Gap for the Four-Dimensional SU(2) Wilson Lattice

For the SU(2) Wilson half-trace action on periodic spatial tori, we prove an explicit vacuum transfer gap uniform in spatial volume for 0 < β < 2/9. A restricted sharp-quarter estimate for the normalized one-link law combines with a two-type time-weighted comparison. The argument controls the entire gauge-invariant excited space. On a matched Osterwalder–Schrader continuum sequence, we also characterize a physical mass gap by the vanishing reflected weight of low directed transfer transitions. The matched nontrivial continuum construction and that uniform low-weight estimate remain open in the present program.