Multi-scale Renormalization

Details Multi-scale Renormalization Multi-scale Renormalization

1996-12-18

arxiv.org/abs/hep-th/9612193v1

Phys.Lett. B398 (1997) 342-346

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Standard LaTeX

Scientific paper

10.1016/S0370-2693(97)00237-2

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.

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