A Scheme Independent Definition of ${\Lambda }_{\mathrm{QCD}}$

Abstract

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

Comments: 4 pages, harvmac