Reconciling resummation and renormalization

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.