Non-perturbative momentum dependence of the coupling constant and hadronic models

Abstract

Models of hadron structure are associated with a hadronic scale which allows by perturbative evolution to calculate observables in the deep inelastic region. The resolution of Dyson-Schwinger equations leads to the freezing of the QCD running coupling (effective charge) in the infrared, which is best understood as a dynamical generation of a gluon mass function, giving rise to a momentum dependence which is free from infrared divergences. We use this new development to understand why perturbative treatments are working reasonably well despite the smallness of the hadronic scale.

arXiv commentChanges in Acknowledgments and PACS numbers

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Cited by in corpus (10)

• The QCD Running Coupling
• Extraction of ${\alpha }_s$ from deep inelastic scattering at large $x$
• NNLO nucleon parton distributions from a light-cone quark model dressed with its virtual meson cloud
• Charge symmetry violation: a NNLO study of partonic observables
• Confinement, the gluon propagator and the interquark potential for heavy mesons
• On the Role of the Running Coupling Constant in a Quark Model Analysis of T-odd TMDs
• Gluon Mass, Glueballs and Gluonic Mesons
• Transversity studies with protons and light nuclei
• The role of the running coupling constant in the unveiling of the hadronic structure
• The Strong Coupling Constant from Hadron Structure Phenomenology