Resurgence, Operator Product Expansion, and Remarks on Renormalons in Supersymmetric Yang-Mills

Abstract

I discuss similarities and differences between the resurgence program in quantum mechanics and the operator product expansion in strongly coupled Yang-Mills theories. In $\mathcal{N}=1$ super-Yang-Mills renormalons possess peculiar features that make them different from renormalons in QCD. Their conventional QCD interpretation does not seem to be applicable in supersymmetric Yang-Mills in a straightforward manner.

Comments: 31 pages, 13 figures. This is a write-up of my talk at the Conference "Resurgence and Trans-series in Quantum, Gauge and String Theories," June 30 - July 4, 2014, CERN; v2. One reference added