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

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

2011-02-08

arxiv.org/abs/1102.1599v2

Eur.Phys.J.A47:49,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

Changes in Acknowledgments and PACS numbers

Scientific paper

10.1140/epja/i2011-11049-8

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.

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