Jan Fischer (Praha):

Infrared freezing of perturbative QCD in the Minkowskian region

Abstract:

The infrared freezing (IRF) of observables holds at fixed orders of perturbative QCD, if the Minkowskian quantities are defined by analytically continuing the Euclidean ones. Using an altenative to Borel integral based on inverse Mellin transform, we show that IRF, in contradistinction to a widely adopted opinion, while valid for any finite-order perturbative approximant, does not survive for the whole perturbative sum, provided that the quantities are continued analytically.