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Reconciling resummation and renormalization

A. Jakovac
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Abstract

In the naive form of most resummations we get into conflict with order-by-order renormalization. We present a method that is capable to ensure UV consistency of any resummations satisfying certain conditions. The method is based on the observation that resummation is equivalent with a calculation in an adequate perturbation scheme, followed by a renormalization scheme changing. This framework works both in static and momentum-dependent cases. In particular it is possible to establish finite infrared 2PI resummation.

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A. Jakovac. 2005-12-22. Reconciling resummation and renormalization. https://arxiv.org/abs/hep-ph/0512292

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