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

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作者
A. Courtoy
S. Scopetta
V. Vento
机构
[1] INFN,Dipartimento di Fisica
[2] Sezione di Pavia,Departamento de Fısica Teórica and Instituto de Fısica Corpuscular
[3] Università degli Studi di Perugia,undefined
[4] and INFN,undefined
[5] Sezione di Perugia,undefined
[6] Universidad de Valencia-CSIC,undefined
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Valence Quark; Gluon Propagator; Landau Pole; Hadron Structure; Gluon Mass;
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摘要
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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