Sky Cao Unveils New Regimes for Wilson’s Area Law in Lattice Yang-Mills Theories 🌐

I will discuss a recent result which extends the parameter regimes for which Wilson’s area law is proven for pure U(N) lattice Yang– Mills theories, in particular when N is large. This improves on a classical result of Osterwalder-Seiler from 1978. To do so, we view the master loop equation as a linear inhomogeneous equation for Wilson string expectations, and then prove an a priori bound for solutions to the equation.

Joint work with Ron Nissim and Scott Sheffield.