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Multi-scale Renormalization
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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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Cited by 1 Pith paper
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Cosmological framework for renormalization group extended gravity at the action level
Renormalization group corrections to gravity are applied at the action level to cosmology, yielding a constant gravitational slip and a low-redshift f sigma8 modification that may ease the sigma8 tension.
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