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Article overview
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On the Interface between Perturbative and Nonperturbative QCD | A. Deur
; S. J. Brodsky
; G. F. de Teramond
; | Date: |
25 Jan 2016 | Abstract: | The QCD running coupling $alpha_s(Q^2)$ sets the strength of the
interactions of quarks and gluons as a function of the momentum transfer $Q$.
The $Q^2$ dependence 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-$Q^2$ analytic behavior of the strong
coupling $alpha_s(Q^2)$. The high-$Q^2$ dependence of the coupling
$alpha_s(Q^2)$ is specified by perturbative QCD and its renormalization group
equation. The matching of the high and low $Q^2$ regimes of $alpha_s(Q^2)$
then determines the scale $Q_0$ which sets the interface between perturbative
and nonperturbative hadron dynamics. The value of $Q_0$ can 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 $Q_0$ and the infrared fixed-point of the QCD coupling. Our
analysis is carried out for the $overline{MS}$, $g_1$, $MOM$ and $V$
renormalization schemes. Our results show that the discrepancies on the value
of $alpha_s$ at large distance seen in the literature can be explained by
different choices of renormalization schemes. We also provide the formulae to
compute $alpha_s(Q^2)$ over the entire range of space-like momentum transfer
for the different renormalization schemes discussed in this article. | Source: | arXiv, 1601.6568 | Services: | Forum | Review | PDF | Favorites |
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