Explicit all-order logarithmic solutions to RG equations for α_s and y_top that resum leading and subleading logs without special functions.
New Solutions for RG Equations in QCD
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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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New Solutions of RG Equations for \alpha_s and y_{top}
Explicit all-order logarithmic solutions to RG equations for α_s and y_top that resum leading and subleading logs without special functions.