Wilson loop expectations in lattice gauge theories with finite abelian gauge groups (part 3)

Abstract: 

Continuing from last week, we will use cluster expansion toprove the main theorem of [Cao20] for finite abelian gauge groups witha one-dimensional unitary representation. I will first explain wherethe expression e^{-ell r_beta (1 - A_beta)} comes from and why weintuitively expect the Wilson loop expectation to be around thisscale. I will then try to give an impressionistic outline of the mainideas and ingredients that go into the estimate.