Numerical analysis of renormalon technique in quantum mechanics
Abstract
We mimic infrared renormalons of QCD by resumming a Born series for s-wave scattering within an exactly solvable model of quantum mechanics. Numerical estimates show that traditional technique based on introduction of nonperturbative power corrections fails to determine the low-energy mass scale of the model analogous to a typical resonance mass in QCD. An alternative approach exploiting a modified running coupling constant of the model and nonperturbative continuation of evolution equations into an infrared region gives solid and accurate estimate of this scale.Keywords
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