Treating Divergent Perturbation Theory: Lessons from Exactly Solvable 2D Models at Large $N$

Daniel Schubring, Chao-Hsiang Sheu, Mikhail Shifman

We consider the operator product expansion (OPE) of correlation functions in the supersymmetric $O(N)$ non-linear sigma model at sub-leading order in the large $N$ limit in order t…