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arXiv · hep-ph/9612204

Numerical analysis of renormalon technique in quantum mechanics

A. A. Penin·A. A. Pivovarov
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Abstract

We discuss the ways of extracting a low energy scale of an underlying theory using high energy scattering data. Within an exactly solvable model of quantum mechanics we analyze a technique based on introduction of nonperturbative power corrections accounting for asymptotically small terms and an alternative approach exploiting a modified running coupling constant of the model and nonperturbative continuation of evolution equations into an infrared region. Numerical estimates show that the latter is more efficient in approximating low-energy data of the model.

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A. A. Penin, A. A. Pivovarov. 1997-07-14. Numerical analysis of renormalon technique in quantum mechanics. https://doi.org/10.1016/s0370-2693(97)00383-3

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