Wed·Sep 12, 2001Wednesday·September 12, 2001

1. 01*

   Testing perturbation theory on the nf=0 static quark potential

   Silvia Necco🇩🇪 · Rainer Sommer (DESY Zeuthen)🇩🇪

   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 ${\alpha }_{qq}(\mu =1/r)=(C_f{)}^{-1}{r}^{2}F(r)$. Since the Lambda-parameter of the $\text{nf}=0$ theory is known from previous work, the perturbative prediction contains no free parameter. It is confronted with recent non-perturbative results. For $\alpha <0.3$ 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.

   ↳ hep-phhep-latPLB(2001)·90 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.