1996/12/18 by C. Ford, C. Wiesendanger · 2 citations
Physics and Astronomy · #Beta function (physics) #Black Holes and Theoretical Physics #Computation #Logarithm #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Quantum Chromodynamics and Particle Interactions #Renormalization #Renormalization group #Resummation #hep-th
paper · pdf · doi:10.1016/s0370-2693(97)00237-2
published as Phys.Lett. B398 (1997) 342-346 · 8 pages, Standard LaTeX
arxiv created 1996/12/18 · openalex publication_date 1997/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Standard MS renormalization prescription is inadequate for dealing with multi-scale problems. To illustrate this we consider the computation of the effective potential in the Higgs-Yukawa model. It is argued that it is natural to employ a two-scale renormalization group. We give a modified version of a two-scale scheme introduced by Einhorn and Jones. In such schemes the beta functions necessarily contain potentially large logarithms of the RG scale ratios. For credible perturbation theory one must implement a large logarithms resumation on the beta functions themselves. We show how the integrability condition for the two RG equations allows one to perform this resummation.