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

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

2011-12-27

arxiv.org/abs/1112.5972v2

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

We apply the subtracted kernel method (SKM), a renormalization approach based on recursive multiple subtractions performed in the kernel of the scattering equation, to the chiral nucleon-nucleon (NN) interactions up to next-to-next-to-leading-order (NNLO). We evaluate the phase-shifts in the 1S0 channel at each order in Weinberg's power counting scheme and in a modified power counting scheme which yields a systematic power-law improvement, and explicitly demonstrate that the SKM procedure is renormalization group invariant under the change of the subtraction scale through a non-relativistic Callan-Symanzik flow equation for the evolution of the renormalized NN interactions.

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