Theoretical Physics Seminar: Alexander Monin

Title: Going beyond perturbative for large quantum numbers

Abstract: It is generally expected that states with large quantum numbers can be described semiclassically. In the context of CFT with additional $U(1)$ symmetry semiclassical methods allow to find the spectrum of large charge primary operators in a class of models. I will explain the methodology with an example of a scalar theory at Wilson Fisher fixed point in $d=3-\epsilon$ dimensions and show how CFT data (scaling dimensions and fusion coefficients) can be obtained systematically as the inverse charge power series. I will also present a construction allowing to identify all spinning primary operators with number of derivatives bounded by the charge in a free 3d scalar theory.