Infrared Renormalons in Supersymmetric Theories

Abstract

I argue that in large-$N$ supersymmetric QCD infrared renormalons are absent in the conformal window, there is no need in conspiracy, and vacuum expectation values of at least some gluon operators vanish. Basing on this conclusion I conjecture that in supersymmetric gluodynamics (supersymmetric Yang-Mills theory without matter) at least the leading renormalon ambiguity disappears which would be consistent with the fact that the gluon condensate vanishes in this theory, $⟨G_{\mu \nu }^a{G}^{\mu \nu a}⟩=0$.

16 pages, 4 figures

References in corpus (5)

• Exact Adler Function in Supersymmetric QCD
• Derivation of the exact expression for the D function in N=1 SQCD
• IR Renormalons vs. Operator Product Expansion in Supersymmetric and Related Gauge Theories
• Resurgence, Operator Product Expansion, and Remarks on Renormalons in Supersymmetric Yang-Mills
• Treating Divergent Perturbation Theory: Lessons from Exactly Solvable 2D Models at Large $N$