Perturbative and non-perturbative QCD

Abstract

In these lectures we give a concise introduction to the ideas of renormalon calculus in QED and QCD. We focus in particular on the example of the Adler D function of vacuum polarization, and on relations between perturbative renormalon ambiguities and corresponding non-perturbative Operator Product Expansion (OPE) ambiguities. Recent work on infrared freezing of Euclidean observables is also discussed.

Comments: 14 pages, 7 figures. Lectures presented at the IPM-LPH06 School and Conference, Tehran, Iran, May 2006