Similarity renormalization group evolution of $NN$ interactions within a subtractive renormalization scheme

TL;DR

This paper applies the similarity renormalization group to evolve nucleon-nucleon interactions within chiral effective field theory, demonstrating RG invariance and comparing different evolution methods.

Contribution

It introduces a novel application of SRG to chiral EFT interactions renormalized via the subtractive kernel method, establishing RG invariance and deriving a fixed-point interaction.

Findings

Demonstrated RG invariance in the SKM approach

Derived a fixed-point nucleon-nucleon interaction

Compared evolution of potentials with subtraction scale and SRG cutoff

Abstract

We apply the similarity renormalization group (SRG) approach to evolve a nucleon-nucleon ($NN$) interaction in leading-order (LO) chiral effective field theory (ChEFT), renormalized within the framework of the subtracted kernel method (SKM). We derive a fixed-point interaction and show the renormalization group (RG) invariance in the SKM approach. We also compare the evolution of $NN$ potentials with the subtraction scale through a SKM RG equation in the form of a non-relativistic Callan-Symanzik (NRCS) equation and the evolution with the similarity cutoff through the SRG transformation.