Title: Abelian gauge theories in 3d

 

Abstract: Abelian gauge theories in 3d are interesting laboratories to study the strongly-coupled dynamics of quantum field theory. After reviewing some long-standing questions about their behavior in the IR, and some exciting new developments, I will describe two different approaches to estimate their observables at the critical point. The first one is the epsilon-expansion, based on the existence of a Wilson-Fisher-like fixed point for the theory continued to d = 4 - epsilon. The second one is based on a realization of these theories as boundary conditions for a a four-dimensional Maxwell field.