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Testing perturbation theory on the nf=0 static quark potential

Silvia Necco·Rainer Sommer
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Abstract

The perturbative expansion of static force and potential is reanalyzed concerning its practical applicability. A well behaved perturbative prediction is given by the integration of the renormalization group equation for the coupling $α_{qq}(μ=1/r)=(C_f)^{-1} r^2 F(r)$. Since the Lambda-parameter of the $\nf=0$ theory is known from previous work, the perturbative prediction contains no free parameter. It is confronted with recent non-perturbative results. For $α< 0.3$ where the truncation error of the perturbative expression is naively estimated to be moderate, it is really quite accurate and large ``non-perturbative terms'' are excluded.

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Silvia Necco, Rainer Sommer. 2001-09-28. Testing perturbation theory on the nf=0 static quark potential. https://doi.org/10.1016/s0370-2693(01)01298-9

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