Similarity renormalization group evolution ofN Ninteractions within a subtractive renormalization scheme

Abstract

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.

Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system

“…An alternative approach to the non-perturbative renormalization of NN interactions that has also been explored is the subtracted kernel method (SKM) [56][57][58][59][60][61][62][63][64][65] in which, instead of using a momentum cutoff regularizing function, the LS equation is regularized by performing multiple subtractions in the kernel at a given energy scale. A closely related subtractive renormalization approach is described in [66][67][68], although in that case a sharp momentum cutoff is also introduced.…”

Renormalization Group Invariance in Pionless Effective Field Theory for the NN System

“…An alternative approach is the subtracted kernel method (SKM) [5,6,7,8,9,10,11,12] in which, instead of using a cutoff function, the LS equation is regularized by performing subtractions in the kernel. An advantage of the SKM approach is that it can be recursively extended to any derivative order of the contact interactions.…”