On the Interface between Perturbative and Nonperturbative QCD Artículo académico uri icon

Abstracto

  • The QCD running coupling α(Q2) sets the strength of the interactions of quarks and gluons as a function of the momentum transfer Q. The Q2 ependence of the coupling is required to describe hadronic interactions at both large and short distances. In this article we adopt the light-front holographic approach to strongly-coupled QCD, a formalism which incorporates confinement, predicts the spectroscopy of hadrons composed of light quarks, and describes the low-Q2 analytic behavior of the strong coupling α(Q2). The high-Qdependence of the coupling Q(Q2) is specified by perturbative QCD and its renormalization group equation. The matching of the high and low Qregimes of α(Q2) hen determines the scale Qwhich sets the interface between perturbative and nonperturbative hadron dynamics. The value of Qan be used to set the factorization scale for DGLAP evolution of hadronic structure functions and the ERBL evolution of distribution amplitudes. We discuss the scheme-dependence of the value of Qand the infrared fixed-point of the QCD coupling. Our analysis is carried out for the MS, g1, MOM and renormalization schemes. Our results show that the discrepancies on the value of αat large distance seen in the literature can be explained by different choices of renormalization schemes. We also provide the formulae to compute α(Q2)  over the entire range of space-like momentum transfer for the different renormalization schemes discussed in this article.

fecha de publicación

  • 2016