Workshop "Gauge theories and spin systems: Yang-Mills theory, continuous symmetry, and disorder"

Expanded regimes of area law for lattice Yang-Mills theories

Jul 31, 2025, 3:00 PM

1h

Poppelsdorfer Allee 45, 1. EG, Lecture room (HIM)

Scheduled Talks

Speaker

Dr Sky Cao (MIT)

Description

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.