New Solutions for RG Equations in QCD
R.M. Iakhibbaev, D.I. Kazakov, D.M. Tolkachev
TL;DR
The paper presents explicit analytical solutions to RG equations in QCD that sum logarithmic contributions across all orders, improving understanding of asymptotic behavior.
Contribution
It introduces simple, explicit solutions for RG equations in QCD that sum leading and subleading logs, enhancing asymptotic analysis.
Findings
Solutions reproduce inverse logarithm expansion
They sum all orders of logarithms in perturbation theory
They improve the asymptotic behavior of QCD Green functions
Abstract
We construct simple analytical solutions of renormalization group equations for the running coupling and for the Green functions in QCD in the asymptotic regime. These solutions have an explicit form and subsequently sum up the leading, subleading, and so on logarithms in all orders of PT. They easily reproduce the inverse logarithm expansion and allow for further summation and improvement of the asymptotic behaviour.
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