Description
In this talk, I will present a semiclassical framework for computing correlation functions of nonlocal, gauge-invariant dressed operators in gauge theories. As a case study, I will consider the critical Abelian Higgs model and discuss two key observables: the Dirac-dressed propagator, which provides a nonlocal order parameter for superconductivity, and the cusp anomalous dimension, which captures universal properties of Wilson lines together with the associated defect CFT data.