New Solutions of RG Equations for αs and ytop
Abstract
We construct simple analytical solutions of the RG equations for the running couplings αs and ytop in the asymptotic regime. These solutions have an explicit form, contain only logarithms and no special functions, and subsequently sum up the leading, subleading, etc logarithms in all orders of PT. While the effect of ytop on the running of αs happens to be negligible, the role of αs on the running of ytop is essential, the account of higher orders gives a noticeable contribution.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.