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

TL;DR

This paper explores the connections and differences between resurgence in quantum mechanics and operator product expansion in strongly coupled Yang-Mills theories, highlighting unique features of renormalons in supersymmetric Yang-Mills.

Contribution

It provides a comparative analysis of resurgence and OPE in supersymmetric Yang-Mills, emphasizing the distinct nature of renormalons in this context.

Findings

Renormalons in super-Yang-Mills have unique features not seen in QCD.

The conventional QCD interpretation of renormalons does not directly apply to supersymmetric theories.

The paper discusses the implications of these differences for understanding non-perturbative effects.

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.