English

Testing perturbation theory on the nf=0 static quark potential

High Energy Physics - Phenomenology 2009-11-07 v2 High Energy Physics - Lattice

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 αqq(μ=1/r)=(Cf)1r2F(r)\alpha_{qq}(\mu=1/r)=(C_f)^{-1} r^2 F(r). Since the Lambda-parameter of the \nf=0\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\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.

Keywords

Cite

@article{arxiv.hep-ph/0109093,
  title  = {Testing perturbation theory on the nf=0 static quark potential},
  author = {Silvia Necco and Rainer Sommer},
  journal= {arXiv preprint arXiv:hep-ph/0109093},
  year   = {2009}
}

Comments

Added comment on known alpha^4 log(alpha) term (page 8), References and acknowledgement

R2 v1 2026-07-22T13:36:07.153Z