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

Timoteo V.S.; Szpigel S.; Duraes F.O.

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

Tipo

Artigo

Data de publicação

2011

Periódico

Few-Body Systems

Citações (Scopus)

2

Autores

Timoteo V.S.
Szpigel S.
Duraes F.O.

Resumo

We consider the NN interaction in pionless effective field theory (EFT) up to next-to-next-to-leading order (NNLO) and use a recursive subtractive renormalization scheme to describe NN scattering in the 1S0 channel. We fix the strengths of the contact interactions at a reference scale, chosen to be the one that provides the best fit for the phase-shifts, and then slide the renormalization scale by evolving the driving terms of the subtracted Lippmann-Schwinger equation through a non-relativistic Callan-Symanzik equation. The results show that such a systematic renormalization scheme with multiple subtractions is fully renormalization group invariant. © 2010 Springer-Verlag.