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arXiv · hep-th/9612193

Multi-scale Renormalization

C. Ford·C. Wiesendanger
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Abstract

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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C. Ford, C. Wiesendanger. 1996-12-18. Multi-scale Renormalization. https://doi.org/10.1016/s0370-2693(97)00237-2

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