The Unitary Mechanism of Infrared Freezing in QCD with massive gluons

Abstract

A "natural" model for the QCD invariant (running) coupling, free of the IR singularity, is proposed. It is based upon the hypothesis of finite gluon mass mgl existence and, technically, uses an accurate treating of threshold behavior of Feynman diagram contribution. The model correlates with the unitarity condition. Quantitative estimate, performed in the one-loop approximation yields a reasonable lower bound for this mass mgl > 150 MeV and a smooth IR freezing at the level αs(Q2) 1.

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