Implicit vs explicit renormalization and effective interactions
Tipo
Artigo
Data de publicação
2014
Periódico
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Citações (Scopus)
19
Autores
Arriola E.R.
Szpigelb S.
Timoteo V.S.
Szpigelb S.
Timoteo V.S.
Orientador
Título da Revista
ISSN da Revista
Título de Volume
Membros da banca
Programa
Resumo
Effective interactions can be obtained from a renormalization group analysis in two complementary ways. One can either explicitly integrate out higher energy modes or impose given conditions at low energies for a cut-off theory. While the first method is numerically involved, the second one can be solved almost analytically. In both cases we compare the outcoming effective interactions for the two nucleon system as functions of the cut-off scale and find a strikingly wide energy region where both approaches overlap, corresponding to relevant scales in light nuclei A ≲ 200 MeV. This amounts to a great simplification in the determination of the effective interaction parameters. © 2013 The Authors. Published by Elsevier B.V.