Renormalon's Contribution to Effective Couplings

Abstract

When an asymptotically non-free theory possesses a mass parameter, the ultraviolet (UV) renormalon gives rise to non-perturbative contributions to dimension-four operators and dimensionless couplings, thus has a similar effect as the instanton. We illustrate this phenomenon in O(N) symmetric massive $\lambda {\varphi }^4$ model in the $1/N$ expansion. This effect of UV renormalon is briefly compared with non-perturbative corrections in the magnetic picture of the Seiberg-Witten theory.

11 pages, 3 figures, PHYZZX

References in corpus (6)

• Introduction to S-Duality in N=2 Supersymmetric Gauge Theory. (A pedagogical review of the work of Seiberg and Witten)
• Multi-Instanton Calculus in $N=2$ Supersymmetric Gauge Theory
• One-Instanton Calculations in $N=2$ Supersymmetric $SU(N_c)$ Yang-Mills Theory
• Renormalons Beyond One-Loop
• Multi-instanton calculus in N=2 supersymmetric QCD
• A Quick Look at Renormalons