Choosing an Expansion Parameter for Quantum Chromodynamics

16 June 1980

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 44 (24) , 1569-1572
https://doi.org/10.1103/physrevlett.44.1569

Abstract

When expanded in powers of

\bar{α}

where

\bar{α}

is chosen to satisfy

\bar{α} ({Q_{0}}^{2}) = \frac{4 π}{β_{0} \ln (\frac{{Q_{0}}^{2}}{Λ^{2}})} = α_{\overset{―}{MS}} ({Q_{0}}^{2})

with

{Q_{0}}^{2} \approx 10

V^{2}

, the quantum chromodynamics (QCD) perturbation series seems to be extremely well behaved. In particular, the large third-order corrections discussed recently by Moshe do not appear when this

\bar{α}

is used as the QCD expansion parameter.

Keywords

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