Improved Spin-Wave Estimate for Wilson Loops in U(1) Lattice Gauge Theory, I

Abstract:

I will be talking about the paper Improved Spin-Wave Estimate for Wilson Loops in U(1) Lattice Gauge Theory by Garban and Sepúlveda. One of their main results shows that lattice Yang-Mills theory with G = U(1) decouples into a "gradient spin wave" and a "Coulomb gas". I will try to define what these two things are and prove the decoupling.