Makeenko-Migdal Equations for 2D Yang-Mills - From Lattice to Continuum

Explore the mathematical convergence of discrete Makeenko-Migdal equations for Yang-Mills models in this 43-minute conference talk. Examine how these equations transition from lattice formulations on (εℤ)² to their continuum counterparts on the plane through rigorous mathematical analysis. Discover the crucial identification of limits from deformation contributions as area derivatives of Wilson loop expectations, which serves as the key step in establishing this convergence. Learn about advanced techniques in mathematical physics and quantum field theory through research conducted in collaboration with Hao Shen and Scott Smith, presented at the Hausdorff Center for Mathematics.