Renormalization group invariance in pionless effective field theory for the NN system
Abstract
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.
Keywords
Cite
@article{arxiv.1104.4885,
title = {Renormalization group invariance in pionless effective field theory for the NN system},
author = {V. S. Timoteo and S. Szpigel and F. O. Duraes},
journal= {arXiv preprint arXiv:1104.4885},
year = {2011}
}
Comments
Talk given at The 21st European Conference on Few-Body Problems in Physics, Salamanca, Spain, August 29th - September 3rd, 2010