Millennium / Mathematics
Vacuum-sector mass gap for the local gauge-invariant sharp-local Yang–Mills net
Description This work presents a theorem establishing a vacuum-sector mass gap for the bounded-region local gauge-invariant sharp-local Yang-Mills net associated to any compact connected simple gauge group GG G . The proof is organized through a finite packet reduction architecture consisting of: a compact-simple ultraviolet gate, a Route 1 lattice-to-continuum vacuum-gap chain, a Lane A sharp-local constructive chain, and a theorem-level endpoint packet (OS/Wightman reconstruction and local-net identification)....