A Scheme Independent Definition of $Λ_{\rm QCD}$

Abstract

Given a renormalization scheme of QCD, one can define a mass scale $Λ_{\rm QCD}$ in terms of the beta function. Under a change of the renormalization scheme, however, $Λ_{\rm QCD}$ changes by a multiplicative constant. We introduce a scheme independent $Λ_{\rm QCD}$ using a connection on the space of the coupling constant.